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evaluate. $(-9)^3 = \\square$ $(-5)^2 = \\square$

Question

evaluate.
$(-9)^3 = \square$
$(-5)^2 = \square$

Explanation:

Step1: Evaluate \((-9)^3\)

Recall that \(a^n\) means multiplying \(a\) by itself \(n\) times. For \((-9)^3\), this is \((-9)\times(-9)\times(-9)\). First, \((-9)\times(-9) = 81\), then \(81\times(-9)= -729\).

Step2: Evaluate \((-5)^2\)

For \((-5)^2\), this is \((-5)\times(-5)\). The product of two negative numbers is positive, so \((-5)\times(-5)=25\).

Answer:

\((-9)^3=-729\), \((-5)^2 = 25\)