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Popular >

simplify (a^3)^k*a^k

Solution

simplify

(a^{3})^{k} \cdot a^{k}

Solution

a^{4 k}

Solution steps

(a^{3})^{k} a^{k}

Apply exponent rule:

a^{n} b^{n} = (a \cdot b)^{n}

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

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

Simplify

a^{3} a : a^{4}

= (a^{4})^{k}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= a^{4 k}

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Frequently Asked Questions (FAQ)

What is (a^3)^k*a^k ?
The solution to (a^3)^k*a^k is a^{4k}