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Popular >

simplify ((3^3)/(3^4))^5

Solution

simplify

(\frac{3 ^{3}}{3 ^{4}})^{5}

Solution

\frac{1}{243}

+1

Solution steps

(\frac{3 ^{3}}{3 ^{4}})^{5}

Apply exponent rule:

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

= \frac{( 3 ^{3} ) ^{5}}{( 3 ^{4} ) ^{5}}

(3^{3})^{5} = 14348907

= \frac{14348907}{( 3 ^{4} ) ^{5}}

(3^{4})^{5} = 3^{20}

= \frac{14348907}{3 ^{20}}

Factor

14348907 : 3^{15}

= \frac{3 ^{15}}{3 ^{20}}

Cancel

\frac{3 ^{15}}{3 ^{20}} : \frac{1}{3 ^{5}}

= \frac{1}{3 ^{5}}

3^{5} = 243

= \frac{1}{243}

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Frequently Asked Questions (FAQ)

What is ((3^3)/(3^4))^5 ?
The solution to ((3^3)/(3^4))^5 is 1/243