Question

Which expression is equivalent to Negative 32 Superscript three-fifths?

–8
Negative RootIndex 3 StartRoot 32 Superscript 5 Baseline EndRoot
StartFraction 1 Over RootIndex 3 StartRoot 32 Superscript 5 Baseline EndRoot EndFraction
One-eighth

Answer 1

-8

Explanation:

i took the test

Answer 2

`-8`

Explanation:

Given:
`(-32)^{((3)/(5)) }`

To choose: the correct option

Solution:

Power refers to a number of times, a number is multiplied by itself. Another name for power is exponent.

As per rule of exponents,
`(a^m)^n=a^(mn)`

Here,

`(-32)=(-2)^5`

Therefore,

`(-32)^{((3)/(5)) }=[(-2)^5]^{((3)/(5)) }=(-2)^{5((3)/(5)) }`

Here,
`a=-2,m=5,n=(3)/(5)`

So,

`(-32)^{((3)/(5)) }=[(-2)^5]^{((3)/(5)) }=(-2)^{5((3)/(5)) }=(-2)^3=-8`