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Popular >

simplify sqrt(4/3)^3

Solution

simplify

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

Solution

\frac{8}{3 3}

+1

Decimal Notation

1.53960 \dots

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(\frac{4}{3})^{2 + 1} = (\frac{4}{3})^{2} \frac{4}{3}

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

Apply exponent rule:

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

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

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

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

= \frac{4}{3} \cdot \frac{4}{3}

4 = 2

= \frac{4}{3} \cdot \frac{2}{3}

\frac{4}{3} \cdot \frac{2}{3} = \frac{8}{3 3}

= \frac{8}{3 3}

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Frequently Asked Questions (FAQ)

What is sqrt(4/3)^3 ?
The solution to sqrt(4/3)^3 is 8/(3sqrt(3))