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Popular >

simplify [(2/3)^2]^3

Solution

simplify

[(\frac{2}{3})^{2}]^{3}

Solution

\frac{64}{729}

+1

Solution steps

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

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

Multiply the numbers:

2 \cdot 3 = 6

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

Apply exponent rule:

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

= \frac{2 ^{6}}{3 ^{6}}

2^{6} = 64

= \frac{64}{3 ^{6}}

3^{6} = 729

= \frac{64}{729}

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Frequently Asked Questions (FAQ)

What is [(2/3)^2]^3 ?
The solution to [(2/3)^2]^3 is 64/729