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Varvara68 [4.7K]
2 years ago
11

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

Mathematics
2 answers:
OleMash [197]2 years ago
4 0

Answer:

-125 is the correct answer

REY [17]2 years ago
3 0

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

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