Question

(-4/5)raised to the power of -3

Answer 1

Answer:

-125/64 is the correct answer

Answer 2

$(\frac{-4}{5} )^{-3}$ = -1.953125.

Explanation:

Given: $(\frac{-4}{5} )^{-3}$ = ?

Negative exponential formula: a⁻ⁿ = $\frac{1}{a^{n} }$

So, $(\frac{\frac{-1}{4} }{\frac{1}{5} } )^{3}$

= $\frac{-5^{3}}{4^{3}}$ ⇒ $\frac{-5 * -5 * - 5}{4 * 4 * 4}$

= $\frac{-125}{64}$

$(\frac{-4}{5} )^{-3}$ = -1.953125.

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