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Popular >

simplify (((3^3)^2)^2)/(9^2)

Solution

simplify

\frac{( ( 3 ^{3} ) ^{2} ) ^{2}}{9 ^{2}}

Solution

6561

Solution steps

\frac{( ( 3 ^{3} ) ^{2} ) ^{2}}{9 ^{2}}

Apply exponent rule:

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

\frac{( ( 3 ^{3} ) ^{2} ) ^{2}}{9 ^{2}} = (\frac{( 3 ^{3} ) ^{2}}{9})^{2}

= (\frac{( 3 ^{3} ) ^{2}}{9})^{2}

\frac{( 3 ^{3} ) ^{2}}{9} = 3^{4}

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

Apply exponent rule:

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

= 3^{4 \cdot 2}

Multiply the numbers:

4 \cdot 2 = 8

= 3^{8}

3^{8} = 6561

= 6561

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Frequently Asked Questions (FAQ)

What is (((3^3)^2)^2)/(9^2) ?
The solution to (((3^3)^2)^2)/(9^2) is 6561