Understanding Exponents - Math
Card 1 of 20
Simplify the expression:
Simplify the expression:
Tap to reveal answer
Remember that fraction exponents are the same as radicals.
A shortcut would be to express the terms as exponents and look for opportunities to cancel.
Either method, we then need to multiply to two terms.
Remember that fraction exponents are the same as radicals.
A shortcut would be to express the terms as exponents and look for opportunities to cancel.
Either method, we then need to multiply to two terms.
← Didn't Know|Knew It →
Convert the exponent to radical notation.
Convert the exponent to radical notation.
Tap to reveal answer
Remember that exponents in the denominator refer to the root of the term, while exponents in the numerator can be treated normally.
Remember that exponents in the denominator refer to the root of the term, while exponents in the numerator can be treated normally.
← Didn't Know|Knew It →
Which of the following is equivalent to 
?
Which of the following is equivalent to
Tap to reveal answer
By definition, a number raised to the 
power is the same as the square root of that number.
Since the square root of 64 is 8, 8 is our solution.
By definition, a number raised to the
Since the square root of 64 is 8, 8 is our solution.
← Didn't Know|Knew It →
Simplify the expression:
Simplify the expression:
Tap to reveal answer
Remember that fraction exponents are the same as radicals.
A shortcut would be to express the terms as exponents and look for opportunities to cancel.
Either method, we then need to multiply to two terms.
Remember that fraction exponents are the same as radicals.
A shortcut would be to express the terms as exponents and look for opportunities to cancel.
Either method, we then need to multiply to two terms.
← Didn't Know|Knew It →
Convert the exponent to radical notation.
Convert the exponent to radical notation.
Tap to reveal answer
Remember that exponents in the denominator refer to the root of the term, while exponents in the numerator can be treated normally.
Remember that exponents in the denominator refer to the root of the term, while exponents in the numerator can be treated normally.
← Didn't Know|Knew It →
Which of the following is equivalent to ?
Which of the following is equivalent to
Tap to reveal answer
By definition, a number raised to the power is the same as the square root of that number.
Since the square root of 64 is 8, 8 is our solution.
By definition, a number raised to the
Since the square root of 64 is 8, 8 is our solution.
← Didn't Know|Knew It →
Solve for 
:
Solve for
Tap to reveal answer
Raise both sides of the equation to the inverse power of 
to cancel the exponent on the left hand side of the equation.
Subtract 
from both sides:
Raise both sides of the equation to the inverse power of
Subtract
← Didn't Know|Knew It →
Which of the following is equivalent to 
?
Which of the following is equivalent to
Tap to reveal answer
By definition,
.
In our problem, 
and 
.
Then, we have 
.
By definition,
In our problem,
Then, we have
← Didn't Know|Knew It →
Solve for :
Solve for
Tap to reveal answer
Raise both sides of the equation to the inverse power of to cancel the exponent on the left hand side of the equation.
Subtract from both sides:
Raise both sides of the equation to the inverse power of
Subtract
← Didn't Know|Knew It →
Which of the following is equivalent to ?
Which of the following is equivalent to
Tap to reveal answer
By definition,
.
In our problem, and .
Then, we have .
By definition,
In our problem,
Then, we have
← Didn't Know|Knew It →
Simplify the expression:
Simplify the expression:
Tap to reveal answer
Remember that fraction exponents are the same as radicals.
A shortcut would be to express the terms as exponents and look for opportunities to cancel.
Either method, we then need to multiply to two terms.
Remember that fraction exponents are the same as radicals.
A shortcut would be to express the terms as exponents and look for opportunities to cancel.
Either method, we then need to multiply to two terms.
← Didn't Know|Knew It →
Convert the exponent to radical notation.
Convert the exponent to radical notation.
Tap to reveal answer
Remember that exponents in the denominator refer to the root of the term, while exponents in the numerator can be treated normally.
Remember that exponents in the denominator refer to the root of the term, while exponents in the numerator can be treated normally.
← Didn't Know|Knew It →
Which of the following is equivalent to ?
Which of the following is equivalent to
Tap to reveal answer
By definition, a number raised to the power is the same as the square root of that number.
Since the square root of 64 is 8, 8 is our solution.
By definition, a number raised to the
Since the square root of 64 is 8, 8 is our solution.
← Didn't Know|Knew It →
Simplify the expression:
Simplify the expression:
Tap to reveal answer
Remember that fraction exponents are the same as radicals.
A shortcut would be to express the terms as exponents and look for opportunities to cancel.
Either method, we then need to multiply to two terms.
Remember that fraction exponents are the same as radicals.
A shortcut would be to express the terms as exponents and look for opportunities to cancel.
Either method, we then need to multiply to two terms.
← Didn't Know|Knew It →
Convert the exponent to radical notation.
Convert the exponent to radical notation.
Tap to reveal answer
Remember that exponents in the denominator refer to the root of the term, while exponents in the numerator can be treated normally.
Remember that exponents in the denominator refer to the root of the term, while exponents in the numerator can be treated normally.
← Didn't Know|Knew It →
Which of the following is equivalent to ?
Which of the following is equivalent to
Tap to reveal answer
By definition, a number raised to the power is the same as the square root of that number.
Since the square root of 64 is 8, 8 is our solution.
By definition, a number raised to the
Since the square root of 64 is 8, 8 is our solution.
← Didn't Know|Knew It →
Solve for :
Solve for
Tap to reveal answer
Raise both sides of the equation to the inverse power of to cancel the exponent on the left hand side of the equation.
Subtract from both sides:
Raise both sides of the equation to the inverse power of
Subtract
← Didn't Know|Knew It →
Which of the following is equivalent to ?
Which of the following is equivalent to
Tap to reveal answer
By definition,
.
In our problem, and .
Then, we have .
By definition,
In our problem,
Then, we have
← Didn't Know|Knew It →
Solve for :
Solve for
Tap to reveal answer
Raise both sides of the equation to the inverse power of to cancel the exponent on the left hand side of the equation.
Subtract from both sides:
Raise both sides of the equation to the inverse power of
Subtract
← Didn't Know|Knew It →
Which of the following is equivalent to ?
Which of the following is equivalent to
Tap to reveal answer
By definition,
.
In our problem, and .
Then, we have .
By definition,
In our problem,
Then, we have
← Didn't Know|Knew It →