Question

Consider this power. (–4) –3 1. Apply the negative exponents rule: 1 (−4)3 2. Expand the exponent: 1 (−4)(−4)(−4) 3.Simplify: What is the value of (–4)–3? Negative StartFraction 1 Over 64 EndFraction Negative StartFraction 1 Over 12 EndFraction StartFraction 1 Over 64 EndFraction StartFraction 1 Over 12 EndFraction

Answer 1

a

Explanation:

-1/64

Answer 2

Given:

The given expression is

`(-4)^(-3)`

To find:

The value of given expression.

Solution:

We have,

`(-4)^(-3)`

Applying the negative exponents rule, we get

`(-4)^(-3)=(1)/((-4)^3)`
`[\because a^(-n)=(1)/(a^n)]`

Expanding the exponent, we get

`(-4)^(-3)=(1)/((-4)(-4)(-4))`

`(-4)^(-3)=(1)/(-64)`

`(-4)^(-3)=-(1)/(64)`

The value of given expression is
`-(1)/(64)`.

Therefore, the correct option is A.