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Popular >

simplify ((3^5)/(3^4))^2

Solution

simplify

(\frac{3 ^{5}}{3 ^{4}})^{2}

Solution

9

Solution steps

(\frac{3 ^{5}}{3 ^{4}})^{2}

Apply exponent rule:

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

= \frac{( 3 ^{5} ) ^{2}}{( 3 ^{4} ) ^{2}}

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

= \frac{59049}{( 3 ^{4} ) ^{2}}

(3^{4})^{2} = 6561

= \frac{59049}{6561}

Divide the numbers:

\frac{59049}{6561} = 9

= 9

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Frequently Asked Questions (FAQ)

What is ((3^5)/(3^4))^2 ?
The solution to ((3^5)/(3^4))^2 is 9