Question

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

Answer 1

Answer:

$-8$

Step-by-step explanation:

Given: $(-32)^{(\frac{3}{5}) }$

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,

$(-32)^{(\frac{3}{5}) }=[(-2)^5]^{(\frac{3}{5}) }=(-2)^{5(\frac{3}{5}) }$

Here, $a=-2,m=5,n=\frac{3}{5}$

So,

$(-32)^{(\frac{3}{5}) }=[(-2)^5]^{(\frac{3}{5}) }=(-2)^{5(\frac{3}{5}) }=(-2)^3=-8$

Answer 2

Answer:

-8

Step-by-step explanation:

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