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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

2 Answers

4 votes

Answer:

-125 is the correct answer

User MPlanchard
by
8.3k points
8 votes

Answer:

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

User Fundtimer
by
8.3k points

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