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Tepliwodav0

Answered question

2021-12-02

What is

{(- m)}^{- 3} n

if m = 2 and n = -24? A. 3 B. -3 C. 4 D. -4

Theirl1972

Beginner2021-12-03Added 22 answers

Given:

{(- m)}^{- 3} n

We need to evaluate the given expression when m=2 and n=-24
Substitute m by 2 and n by -24 in the given expression:

{(- 2)}^{- 3} (- 24)

By the definition of a negative exponent:

a^{- n} = \frac{1}{a^{n}}

for every nonzero number a and integer n.

\frac{1}{{(- 2)}^{3}} \cdot (- 24)

When a positive exponent n is taken of some base a, then this is the same as a multiplication that contains the factors a for a total of n times.

\frac{1}{(- 2) \cdot (- 2) \cdot (- 2)} \cdot (- 24)

Evaluate the multiplications:

\frac{- 24}{- 8}

Evaluate the division:
3
Result:
A. 3

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