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Popular >

simplify \sqrt[6]{(8a^3)}^8

Solution

simplify

Solution

16 a^{4}

Solution steps

Apply rule:

(a) = a

(8 a^{3}) = 8 a^{3}

Apply exponent rule:

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

Apply exponent rule:

assuming

n i s o dd or a \geq 0

Simplify

= 8 a^{3} \cdot 2 a

Multiply the numbers:

8 \cdot 2 = 16

= 16 a^{3} a

Apply exponent rule:

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

a^{3} a = a^{3 + 1}

= 16 a^{3 + 1}

Add the numbers:

3 + 1 = 4

= 16 a^{4}

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Frequently Asked Questions (FAQ)

What is \sqrt[6]{(8a^3)}^8 ?
The solution to \sqrt[6]{(8a^3)}^8 is 16a^4