Understanding Exponents - Math
Card 0 of 20
Simplify the expression:
Simplify the expression:
Tap to see back →
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.
Convert the exponent to radical notation.
Convert the exponent to radical notation.
Tap to see back →
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.
Which of the following is equivalent to 
?
Which of the following is equivalent to
Tap to see back →
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.
Solve for 
:
Solve for
Tap to see back →
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
Which of the following is equivalent to 
?
Which of the following is equivalent to
Tap to see back →
By definition,
.
In our problem, 
and 
.
Then, we have 
.
By definition,
In our problem,
Then, we have
Simplify the expression:
Simplify the expression:
Tap to see back →
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.
Convert the exponent to radical notation.
Convert the exponent to radical notation.
Tap to see back →
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.
Which of the following is equivalent to ?
Which of the following is equivalent to
Tap to see back →
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.
Solve for :
Solve for
Tap to see back →
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
Which of the following is equivalent to ?
Which of the following is equivalent to
Tap to see back →
By definition,
.
In our problem, and .
Then, we have .
By definition,
In our problem,
Then, we have
Simplify the expression:
Simplify the expression:
Tap to see back →
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.
Convert the exponent to radical notation.
Convert the exponent to radical notation.
Tap to see back →
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.
Which of the following is equivalent to ?
Which of the following is equivalent to
Tap to see back →
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.
Solve for :
Solve for
Tap to see back →
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
Which of the following is equivalent to ?
Which of the following is equivalent to
Tap to see back →
By definition,
.
In our problem, and .
Then, we have .
By definition,
In our problem,
Then, we have
Simplify the expression:
Simplify the expression:
Tap to see back →
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.
Convert the exponent to radical notation.
Convert the exponent to radical notation.
Tap to see back →
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.
Which of the following is equivalent to ?
Which of the following is equivalent to
Tap to see back →
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.
Solve for :
Solve for
Tap to see back →
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
Which of the following is equivalent to ?
Which of the following is equivalent to
Tap to see back →
By definition,
.
In our problem, and .
Then, we have .
By definition,
In our problem,
Then, we have