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Popular >

simplify ((9^{10})/(9^8))^2

Solution

simplify

(\frac{9 ^{10}}{9 ^{8}})^{2}

Solution

6561

Solution steps

(\frac{9 ^{10}}{9 ^{8}})^{2}

Apply exponent rule:

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

= \frac{( 9 ^{10} ) ^{2}}{( 9 ^{8} ) ^{2}}

(9^{10})^{2} = 9^{20}

= \frac{9 ^{20}}{( 9 ^{8} ) ^{2}}

(9^{8})^{2} = 9^{16}

= \frac{9 ^{20}}{9 ^{16}}

Apply exponent rule:

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

\frac{9 ^{20}}{9 ^{16}} = 9^{20 - 16}

= 9^{20 - 16}

Subtract the numbers:

20 - 16 = 4

= 9^{4}

9^{4} = 6561

= 6561

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Frequently Asked Questions (FAQ)

What is ((9^{10})/(9^8))^2 ?
The solution to ((9^{10})/(9^8))^2 is 6561