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

Answer:

-125 is the correct answer

Answer 2

Answer:

x = -125

Explanation:

$\Longrightarrow \dfrac{1}{x} = (-5)^{-3}$

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

$\Longrightarrow \dfrac{1}{x} = \dfrac{1}{\left(-5\right)^3}$

Expand the power:

$\Longrightarrow \dfrac{1}{x} = \dfrac{1}{\left(-5\right)\left(-5\right)\left(-5\right)}$

Simplify the following:

$\Longrightarrow \dfrac{1}{x} =- \dfrac{1}{\left125}$

Flip the following:

$\Longrightarrow x = -125$