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High School Math : Pre-Algebra

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8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #41 : Whole Numbers

$4^{4}=?$ $\displaystyle 4^{4}=?$

Possible Answers:

$\displaystyle 64$

256 $\displaystyle 256$

$\displaystyle 44$

$\displaystyle 16$

Correct answer:

256 $\displaystyle 256$

Explanation:

When a number is raised to a power it means that the number is multiplied by itself the same number of times as the number of the power.

In this case $\displaystyle 4$ is raised to the 4th $\displaystyle 4th$ power so it is equivalent to 4*4*4*4 $\displaystyle 4*4*4*4$

We then perform the necessary multiplication to arrive at the answer of 256 $\displaystyle 256$.

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Example Question #41 : High School Math

Convert to standard notation.

$3.67\times 10^{-4}$ $\displaystyle 3.67\times 10^{-4}$

Possible Answers:

$\displaystyle 3,670,000$

36,700 $\displaystyle 36,700$

$\displaystyle 0.0000367$

$\displaystyle 0.000367$

Correct answer:

$\displaystyle 0.000367$

Explanation:

Because the exponent is negative, we have to move the decimal four places to the left. We need to add three zeroes between the decimal the number three.

$3.67\rightarrow 0.000367$ $\displaystyle 3.67\rightarrow 0.000367$

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Example Question #1 : How To Do Exponents In Pre Algebra

Simplify the fractional expression.

$\frac{x^5}{x^2}$ $\displaystyle \frac{x^5}{x^2}$

Possible Answers:

$x^{-3}$ $\displaystyle x^{-3}$

x^3 $\displaystyle x^3$

x^7 $\displaystyle x^7$

x^2^.^5 $\displaystyle x^2^.^5$

x^1^0 $\displaystyle x^1^0$

Correct answer:

x^3 $\displaystyle x^3$

Explanation:

Simplifying exponents with a common base can be done by subtracting the exponent in the denominator from the exponent in the numerator.

$\frac{x^5}{x^2}$ $\displaystyle \frac{x^5}{x^2}$

$x^{5-2}$ $\displaystyle x^{5-2}$

This gives us the final answer, x^3 $\displaystyle x^3$.

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Example Question #3 : How To Do Exponents In Pre Algebra

Evaluate the term.

$5^{-2}$ $\displaystyle 5^{-2}$

Possible Answers:

$\frac{1}{25}$ $\displaystyle \frac{1}{25}$

$\displaystyle -10$

$\displaystyle 25$

$\displaystyle -25$

$\displaystyle 10$

Correct answer:

$\frac{1}{25}$ $\displaystyle \frac{1}{25}$

Explanation:

$5^{-2}$ $\displaystyle 5^{-2}$

A negative exponent can be written as a positive exponent in the denominator of a fraction.

$\frac{1}{5^2}$ $\displaystyle \frac{1}{5^2}$

Now we can evaluate the exponent and simplify.

$\frac{1}{25}$ $\displaystyle \frac{1}{25}$

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Example Question #10 : How To Do Exponents In Pre Algebra

What is 2^3 $\displaystyle 2^3$?

Possible Answers:

$\displaystyle 16$

$\displaystyle 8$

$\displaystyle 4$

$\displaystyle 6$

$\sqrt{2}$ $\displaystyle \sqrt{2}$

Correct answer:

$\displaystyle 8$

Explanation:

When you see an exponent, remember it just means the number times itself that many times. That means that 2^3 $\displaystyle 2^3$ is just another way to write 2*2*2 $\displaystyle 2*2*2$.

From here, we can solve it all together in a calculator, or do it in pieces on our own.

$\displaystyle 2^3=2*2*2$

2^3=4*2 $\displaystyle 2^3=4*2$

2^3=8 $\displaystyle 2^3=8$

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Example Question #11 : How To Do Exponents In Pre Algebra

What is 5^2 $\displaystyle 5^2$?

Possible Answers:

$\displaystyle 10$

$\displaystyle 0$

625 $\displaystyle 625$

$\displaystyle 25$

$\sqrt{5}$ $\displaystyle \sqrt{5}$

Correct answer:

$\displaystyle 25$

Explanation:

Remember, an exponent just means the number times itself that many times.

That means that 5^2 $\displaystyle 5^2$ is just another way to write 5*5 $\displaystyle 5*5$. From here, we can solve.

5^2=5*5 $\displaystyle 5^2=5*5$

5^2=25 $\displaystyle 5^2=25$

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Example Question #41 : High School Math

What is 6^4 $\displaystyle 6^4$?

Possible Answers:

216 $\displaystyle 216$

$\displaystyle 36$

1296 $\displaystyle 1296$

$\displaystyle 10$

$\displaystyle 24$

Correct answer:

1296 $\displaystyle 1296$

Explanation:

Remember, an exponent just means the number times itself that many times.

That means that 6^4 $\displaystyle 6^4$ is the same as 6*6*6*6 $\displaystyle 6*6*6*6$. From here we can either plug it into the calculator or solve in pieces.

$\displaystyle 6^4=6*6*6*6$

$\displaystyle 6^4=36*6*6$

$\displaystyle 6^4=216*6$

$\displaystyle 6^4=1296$

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Example Question #41 : High School Math

What is 3^3 $\displaystyle 3^3$?

Possible Answers:

$\displaystyle 6$

$\displaystyle 9$

$\displaystyle 27$

$\displaystyle 12$

$\displaystyle 24$

Correct answer:

$\displaystyle 27$

Explanation:

Remember, an exponent just means the number times itself that many times.

That means that 3^3 $\displaystyle 3^3$ is the same as 3*3*3 $\displaystyle 3*3*3$. From here, either plug it in your calculator or solve in pieces.

$\displaystyle 3^3=3*3*3$

3^3=9*3 $\displaystyle 3^3=9*3$

3^3=27 $\displaystyle 3^3=27$

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Example Question #41 : High School Math

Find the value of three raised to the fourth power?

Possible Answers:

$\displaystyle 36$

$\displaystyle 32$

$\displaystyle 64$

$\displaystyle 81$

$\displaystyle 27$

Correct answer:

$\displaystyle 81$

Explanation:

"Three raised to the fourth power" tells us that three is to be multiplied by itself four times.

$3\cdot 3\cdot 3\cdot 3=81$ $\displaystyle 3\cdot 3\cdot 3\cdot 3=81$

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Example Question #42 : High School Math

What is (-2)^3 $\displaystyle (-2)^3$ ?

Possible Answers:

$\frac{1}{8}$ $\displaystyle \frac{1}{8}$

$\displaystyle 8$

$\displaystyle -6$

$-\frac{1}{8}$ $\displaystyle -\frac{1}{8}$

$\displaystyle -8$

Correct answer:

$\displaystyle -8$

Explanation:

Recall the meaning of exponents:

$\displaystyle (-2)^3 = (-2)(-2)(-2) = (4)(-2) = -8$

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High School Math : Pre-Algebra

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #41 : Whole Numbers

Example Question #41 : High School Math

Example Question #1 : How To Do Exponents In Pre Algebra

Example Question #3 : How To Do Exponents In Pre Algebra

Example Question #10 : How To Do Exponents In Pre Algebra

Example Question #11 : How To Do Exponents In Pre Algebra

Example Question #41 : High School Math

Example Question #41 : High School Math

Example Question #41 : High School Math

Example Question #42 : High School Math

All High School Math Resources

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