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Popular >

simplify sqrt((4/3))^6

Solution

simplify

(\frac{4}{3})^{6}

Solution

\frac{64}{27}

+1

Decimal Notation

2.37037 \dots

Solution steps

(\frac{4}{3})^{6}

Apply rule:

(a) = a

(\frac{4}{3}) = \frac{4}{3}

= (\frac{4}{3})^{6}

Rewrite

6

as

2 \cdot 3

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

Apply exponent rule:

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

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

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

Apply exponent rule:

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

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

Apply exponent rule:

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

= \frac{4 ^{3}}{3 ^{3}}

4^{3} = 64

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

3^{3} = 27

= \frac{64}{27}

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Frequently Asked Questions (FAQ)

What is sqrt((4/3))^6 ?
The solution to sqrt((4/3))^6 is 64/27