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Popular >

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

Solution

simplify

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

Solution

\frac{2 ^{30}}{3 ^{30}}

+1

Solution steps

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

((- \frac{2}{3})^{2})^{5} : (- \frac{2}{3})^{10}

= ((- \frac{2}{3})^{10})^{3}

(- \frac{2}{3})^{10} = \frac{2 ^{10}}{3 ^{10}}

= (\frac{2 ^{10}}{3 ^{10}})^{3}

Apply exponent rule:

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

= \frac{( 2 ^{10} ) ^{3}}{( 3 ^{10} ) ^{3}}

(3^{10})^{3} : 3^{30}

= \frac{( 2 ^{10} ) ^{3}}{3 ^{30}}

(2^{10})^{3} : 2^{30}

= \frac{2 ^{30}}{3 ^{30}}

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Frequently Asked Questions (FAQ)

What is (((-2/3)^2)^5)^3 ?
The solution to (((-2/3)^2)^5)^3 is (2^{30})/(3^{30)}