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Popular >

simplify ((27)/(3^2))^5

Solution

simplify

(\frac{27}{3 ^{2}})^{5}

Solution

243

Solution steps

(\frac{27}{3 ^{2}})^{5}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{2 7 ^{5}}{( 3 ^{2} ) ^{5}}

(3^{2})^{5} = 59049

= \frac{2 7 ^{5}}{59049}

Factor

2 7^{5} : 3^{15}

Factor

59049 : 3^{10}

= \frac{3 ^{15}}{3 ^{10}}

Cancel

\frac{3 ^{15}}{3 ^{10}} : 3^{5}

= 3^{5}

3^{5} = 243

= 243

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Frequently Asked Questions (FAQ)

What is ((27)/(3^2))^5 ?
The solution to ((27)/(3^2))^5 is 243