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SSAT Upper Level Math : Properties of Exponents

Study concepts, example questions & explanations for SSAT Upper Level Math

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All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #151 : Algebra

What is $15\times15\times15\times15\times15$ $\displaystyle 15\times15\times15\times15\times15$ in exponential notation?

Possible Answers:

$5\times15$ $\displaystyle 5\times15$

$15^{5}$ $\displaystyle 15^{5}$

$15\times5$ $\displaystyle 15\times5$

$5^{15}$ $\displaystyle 5^{15}$

$5\times1$ $\displaystyle 5\times1$

Correct answer:

$15^{5}$ $\displaystyle 15^{5}$

Explanation:

Exponential notation includes a base number and an exponent. The base number is the number that is being multiplied and the exponent is how many times the base number is being multiplied to itself.

In this case, $\displaystyle 15$ is our base number and it's being multiplied to itself $\displaystyle 5$ times, so that is our exponent.

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Example Question #91 : Expressions & Equations

What is $16\times16\times16\times16\times16\times16$ $\displaystyle 16\times16\times16\times16\times16\times16$ in exponential notation?

Possible Answers:

$6^{16}$ $\displaystyle 6^{16}$

$16\times6$ $\displaystyle 16\times6$

16^6 $\displaystyle 16^6$

$6\times6$ $\displaystyle 6\times6$

$6\times16$ $\displaystyle 6\times16$

Correct answer:

16^6 $\displaystyle 16^6$

Explanation:

Exponential notation includes a base number and an exponent. The base number is the number that is being multiplied and the exponent is how many times the base number is being multiplied to itself.

In this case, $\displaystyle 16$ is our base number and it's being multiplied to itself $\displaystyle 6$ times, so that is our exponent.

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Example Question #91 : Expressions & Equations

What is $17\times17\times17$ $\displaystyle 17\times17\times17$ in exponential notation?

Possible Answers:

$3\times3\times3\times3$ $\displaystyle 3\times3\times3\times3$

$17\times3$ $\displaystyle 17\times3$

$3\times17$ $\displaystyle 3\times17$

17^3 $\displaystyle 17^3$

$3^{17}$ $\displaystyle 3^{17}$

Correct answer:

17^3 $\displaystyle 17^3$

Explanation:

Exponential notation includes a base number and an exponent. The base number is the number that is being multiplied and the exponent is how many times the base number is being multiplied to itself.

In this case, $\displaystyle 17$ is our base number and it's being multiplied to itself $\displaystyle 3$ times, so that is our exponent.

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Example Question #92 : Expressions & Equations

What is $18\times18\times18$ $\displaystyle 18\times18\times18$ in exponential notation?

Possible Answers:

$3^{18}$ $\displaystyle 3^{18}$

$3\times18$ $\displaystyle 3\times18$

$18\times3$ $\displaystyle 18\times3$

$3\times8$ $\displaystyle 3\times8$

18^3 $\displaystyle 18^3$

Correct answer:

18^3 $\displaystyle 18^3$

Explanation:

Exponential notation includes a base number and an exponent. The base number is the number that is being multiplied and the exponent is how many times the base number is being multiplied to itself.

In this case, $\displaystyle 18$ is our base number and it's being multiplied to itself $\displaystyle 3$ times, so that is our exponent.

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Example Question #101 : How To Find The Properties Of An Exponent

What is $19\times19$ $\displaystyle 19\times19$ in exponential notation?

Possible Answers:

19^2 $\displaystyle 19^2$

$2^{19}$ $\displaystyle 2^{19}$

$2\times19$ $\displaystyle 2\times19$

$19\times2$ $\displaystyle 19\times2$

$2\times9$ $\displaystyle 2\times9$

Correct answer:

19^2 $\displaystyle 19^2$

Explanation:

Exponential notation includes a base number and an exponent. The base number is the number that is being multiplied and the exponent is how many times the base number is being multiplied to itself.

In this case, $\displaystyle 19$ is our base number and it's being multiplied to itself $\displaystyle 2$ times, so that is our exponent.

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Example Question #161 : Algebra

What is $20\times20\times20\times20$ $\displaystyle 20\times20\times20\times20$ in exponential notation?

Possible Answers:

$4^{20}$ $\displaystyle 4^{20}$

$4\times20$ $\displaystyle 4\times20$

20^4 $\displaystyle 20^4$

$4\times4\times4\times4\times4$ $\displaystyle 4\times4\times4\times4\times4$

$20\times4$ $\displaystyle 20\times4$

Correct answer:

20^4 $\displaystyle 20^4$

Explanation:

Exponential notation includes a base number and an exponent. The base number is the number that is being multiplied and the exponent is how many times the base number is being multiplied to itself.

In this case, $\displaystyle 20$ is our base number and it's being multiplied to itself $\displaystyle 4$ times, so that is our exponent.

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Example Question #102 : How To Find The Properties Of An Exponent

What is $21\times21\times21\times21\times21\times21\times21$ $\displaystyle 21\times21\times21\times21\times21\times21\times21$ in exponential notation?

Possible Answers:

21^7 $\displaystyle 21^7$

$21\times7$ $\displaystyle 21\times7$

$7^{21}$ $\displaystyle 7^{21}$

$7\times21$ $\displaystyle 7\times21$

$7\times7\times7\times7\times7\times7\times7\times7\times7\times7\times7\times7$ $\displaystyle 7\times7\times7\times7\times7\times7\times7\times7\times7\times7\times7\times7$

Correct answer:

21^7 $\displaystyle 21^7$

Explanation:

Exponential notation includes a base number and an exponent. The base number is the number that is being multiplied and the exponent is how many times the base number is being multiplied to itself.

In this case, $\displaystyle 21$ is our base number and it's being multiplied to itself $\displaystyle 7$ times, so that is our exponent.

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Example Question #92 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

What is $22\times22\times22\times22\times22\times22$ $\displaystyle 22\times22\times22\times22\times22\times22$ in exponential notation?

Possible Answers:

$6\times22$ $\displaystyle 6\times22$

$22\times6$ $\displaystyle 22\times6$

$6^{22}$ $\displaystyle 6^{22}$

$6\times20$ $\displaystyle 6\times20$

22^6 $\displaystyle 22^6$

Correct answer:

22^6 $\displaystyle 22^6$

Explanation:

Exponential notation includes a base number and an exponent. The base number is the number that is being multiplied and the exponent is how many times the base number is being multiplied to itself.

In this case, $\displaystyle 22$ is our base number and it's being multiplied to itself $\displaystyle 6$ times, so that is our exponent.

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Example Question #96 : Expressions & Equations

What is $23\times23\times23\times23$ $\displaystyle 23\times23\times23\times23$ in exponential notation?

Possible Answers:

$4\times4\times4\times4\times4\times4\times4\times4\times4\times4\times4\times4$ $\displaystyle 4\times4\times4\times4\times4\times4\times4\times4\times4\times4\times4\times4$

$4\times23$ $\displaystyle 4\times23$

$23\times4$ $\displaystyle 23\times4$

$4^{23}$ $\displaystyle 4^{23}$

23^4 $\displaystyle 23^4$

Correct answer:

23^4 $\displaystyle 23^4$

Explanation:

Exponential notation includes a base number and an exponent. The base number is the number that is being multiplied and the exponent is how many times the base number is being multiplied to itself.

In this case, $\displaystyle 23$ is our base number and it's being multiplied to itself $\displaystyle 4$ times, so that is our exponent.

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Example Question #91 : Expressions & Equations

What is $13\times13\times13\times13\times13$ $\displaystyle 13\times13\times13\times13\times13$ in exponential notation?

Possible Answers:

$13\times5$ $\displaystyle 13\times5$

13^5 $\displaystyle 13^5$

$5\times5\times5\times5\times5\times5\times5\times5$ $\displaystyle 5\times5\times5\times5\times5\times5\times5\times5$

$5^{13}$ $\displaystyle 5^{13}$

$5\times13$ $\displaystyle 5\times13$

Correct answer:

13^5 $\displaystyle 13^5$

Explanation:

Exponential notation includes a base number and an exponent. The base number is the number that is being multiplied and the exponent is how many times the base number is being multiplied to itself.

In this case, $\displaystyle 13$ is our base number and it's being multiplied to itself $\displaystyle 5$ times, so that is our exponent.

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SSAT Upper Level Math : Properties of Exponents

Study concepts, example questions & explanations for SSAT Upper Level Math

All SSAT Upper Level Math Resources

Example Questions

Example Question #151 : Algebra

Example Question #91 : Expressions & Equations

Example Question #91 : Expressions & Equations

Example Question #92 : Expressions & Equations

Example Question #101 : How To Find The Properties Of An Exponent

Example Question #161 : Algebra

Example Question #102 : How To Find The Properties Of An Exponent

Example Question #92 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

Example Question #96 : Expressions & Equations

Example Question #91 : Expressions & Equations

All SSAT Upper Level Math Resources

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