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Simplify: (-5)^(2)xx(-3)^3...

Simplify: `(-5)^(2)xx(-3)^3`

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To simplify the expression \((-5)^{2} \times (-3)^{3}\), we can follow these steps: ### Step 1: Calculate \((-5)^{2}\) \[ (-5)^{2} = (-5) \times (-5) = 25 \] ### Step 2: Calculate \((-3)^{3}\) \[ (-3)^{3} = (-3) \times (-3) \times (-3) \] Calculating this step-by-step: - First, calculate \((-3) \times (-3) = 9\) - Then, multiply \(9\) by \(-3\): \[ 9 \times (-3) = -27 \] So, \((-3)^{3} = -27\). ### Step 3: Multiply the results from Step 1 and Step 2 Now we have: \[ 25 \times (-27) \] Calculating this: \[ 25 \times (-27) = -675 \] ### Final Answer Thus, the simplified expression is: \[ \boxed{-675} \]
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