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Popular >

simplify ((3^2)^6)/(3^5)

Solution

simplify

\frac{( 3 ^{2} ) ^{6}}{3 ^{5}}

Solution

2187

Solution steps

\frac{( 3 ^{2} ) ^{6}}{3 ^{5}}

(3^{2})^{6} = 3^{12}

= \frac{3 ^{12}}{3 ^{5}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= 3^{12 - 5}

Subtract the numbers:

12 - 5 = 7

= 3^{7}

3^{7} = 2187

= 2187

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Frequently Asked Questions (FAQ)

What is ((3^2)^6)/(3^5) ?
The solution to ((3^2)^6)/(3^5) is 2187