Question

What is the value of the expression (-5)-³?

1. Apply the negative exponents rule:
2. Expand the power:
3. Simplify:
What is the value of x?
X=
1
(-5)³
1
(-5)(-5)(-5)
XII

Answer 1

-125 is the correct answer

Answer 2

x = -125

Step-by-step explanation:

`\Longrightarrow (1)/(x) = (-5)^(-3)`

Apply the negative exponent rule: a⁻ᵇ = 1/aᵇ

`\Longrightarrow (1)/(x) = (1)/(\left(-5\right)^3)`

Expand the power:

`\Longrightarrow (1)/(x) = (1)/(\left(-5\right)\left(-5\right)\left(-5\right))`

Simplify the following:

`\Longrightarrow (1)/(x) =- (1)/(\left125)`

Flip the following:

`\Longrightarrow x = -125`