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Question

Evaluate:
$left parenthesis negative 6 right parenthesis squared space cross times space open parentheses 2 over 3 close parentheses squared cross times open parentheses 2 over 5 close parentheses squared$

Solution

Since $straight a to the power of straight m space cross times space straight b to the power of straight m space equals left parenthesis ab right parenthesis to the power of straight m$

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$equals open square brackets left parenthesis negative 6 right parenthesis space cross times space 2 over 3 cross times 2 over 5 close square brackets squared$
$equals open square brackets fraction numerator negative 2 space cross times space 2 space cross times 2 over denominator 5 end fraction close square brackets squared$
$space equals open square brackets fraction numerator negative 8 over denominator 5 end fraction close square brackets squared space equals space 64 over 25$

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Exponents And Powers

Evaluate:
$left parenthesis negative 6 right parenthesis squared space cross times space open parentheses 2 over 3 close parentheses squared cross times open parentheses 2 over 5 close parentheses squared$

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