How do you simplify $(5 a^{- 2}) (5 a^{6})$ $(5a^-2)(5a^6)$ ?

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How do you simplify $(5 a^{- 2}) (5 a^{6})$ $(5a^-2)(5a^6)$ ?

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Answer 1 · 2015-10-17T16:32:27

$25 a^{4}$ $25a^4$

Explanation:

The expression $(5 a^{- 2}) (5 a^{6})$ $(5a^-2)(5a^6)$ is a multiplication problem.
which can be restated as $(5) (5) (a^{6 - 2})$ $(5)(5)(a^(6-2))$ .
The exponents of similar variables are combined by addition.
$(a^{m}) (a^{n}) = a^{m + n}$ $(a^m)(a^n) = a^(m+n)$
The final solution is then $* 25 a^{4} *$ $**25a^4**$

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How do you simplify $(5 a^{- 2}) (5 a^{6})$ $(5a^-2)(5a^6)$ ?

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How do you simplify (5a−2)(5a6)(5a^-2)(5a^6)?

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How do you simplify $(5 a^{- 2}) (5 a^{6})$ $(5a^-2)(5a^6)$ ?