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Popular >

simplify \sqrt[5]{16^3}

Solution

simplify

Solution

+1

Decimal Notation

5.27803 \dots

Solution steps

1 6^{3} = 4096

Prime factorization of

4096 : 2^{12}

Apply exponent rule:

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

2^{12} = 2^{10} \cdot 2^{2}

Apply radical rule:

2^{2} = 4

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(a b^{- 1} + a^{- 1} b) (a^{- 2} + b^{- 2})^{- 1}

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e^{- y} e^{y}

Frequently Asked Questions (FAQ)

What is \sqrt[5]{16^3} ?
The solution to \sqrt[5]{16^3} is 4\sqrt[5]{4}