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Exponents And Powers

Question

Simplify and express the result in power notation with positive exponent.

$WiredFaculty$

Solution

WiredFaculty

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

∴   $left parenthesis negative 3 right parenthesis to the power of 4 cross times open parentheses 5 over 3 close parentheses to the power of 4 equals space open square brackets left parenthesis negative 3 right parenthesis space cross times space 5 over 3 close square brackets to the power of 4$
                          = $WiredFaculty$
                          = $1 space cross times space left parenthesis 5 right parenthesis to the power of 4 space equals space left parenthesis 5 right parenthesis to the power of 4$

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Exponents And Powers

Simplify and express the result in power notation with positive exponent.

$WiredFaculty$

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