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Popular >

simplify \sqrt[3]{2^7}

Solution

simplify

3 2^{7}

Solution

432

+1

Decimal

5.03968 \dots

Solution steps

3 2^{7}

Apply exponent rule:

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

2^{6 + 1} = 2^{6} \cdot 2

= 3 2^{6} \cdot 2

Apply radical rule:

n ab = n a n b, a \geq 0, b \geq 0

3 2^{6} \cdot 2 = 3 2^{6} 32

= 3 2^{6} 32

3 2^{6} = 4

= 432

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{2^7} ?
The solution to \sqrt[3]{2^7} is 4\sqrt[3]{2}