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Popular >

simplify (\sqrt[3]{4/6})^6

Solution

simplify

Solution

\frac{4}{9}

+1

Decimal Notation

0.44444 \dots

Solution steps

Rewrite

6

as

3 \cdot 2

Apply exponent rule:

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

Apply exponent rule:

= (\frac{4}{6})^{2}

Apply exponent rule:

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

= \frac{4 ^{2}}{6 ^{2}}

4^{2} = 16

= \frac{16}{6 ^{2}}

6^{2} = 36

= \frac{16}{36}

Cancel the common factor:

4

= \frac{4}{9}

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Frequently Asked Questions (FAQ)

What is (\sqrt[3]{4/6})^6 ?
The solution to (\sqrt[3]{4/6})^6 is 4/9