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Question
- which expression is the same as 3^2 × 5^4? (3 × 2) + (5 × 4) 3 × 3 × 5 × 5 × 5 × 5 3 × 2 × 5 × 4 (3 × 3) + (5 × 5 × 5 × 5)
Step1: Recall exponent definition
The exponent \(a^n\) means \(a\) multiplied by itself \(n\) times. So \(3^2=3\times3\) and \(5^4 = 5\times5\times5\times5\).
Step2: Rewrite the product
\(3^2\times5^4=(3\times3)\times(5\times5\times5\times5)=3\times3\times5\times5\times5\times5\).
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\(3\times3\times5\times5\times5\times5\)