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w^7/4
<-- Enter Number or variable Raised to a fractional power such as a^b/c
Term 1
Simplify the rational exponent
w
^{7/4}
Analyze Fractional Exponent:
The rule of fractional exponents states that a
^{b/c}
is evaluated as follows:
a
^{b/c}
= (
^{c}
√
a
)
^{b}
That is equivalent to saying we take the c
^{th}
root of a, and then raise that value to the power of b
In this case, a =
w
, b =
7
, and c =
4
This is written as (
^{4}
√
w
)
^{7 }