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Popular >

simplify \sqrt[3]{a^{16}}

Solution

simplify

3 a^{16}

Solution

a^{5} 3 a

Solution steps

3 a^{16}

Apply exponent rule:

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

a^{15 + 1} = a^{15} a

= 3 a^{15} a

Apply radical rule:

n ab = n a n b,

assuming

a \geq 0, b \geq 0

3 a^{15} a = 3 a^{15} 3 a

= 3 a^{15} 3 a

Simplify

3 a^{15} : a^{5}

= a^{5} 3 a

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Frequently Asked Questions (FAQ)

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