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Popular >

simplify (a^2a^2a^2)^3

Solution

simplify

(a^{2} \cdot a^{2} \cdot a^{2})^{3}

Solution

a^{18}

Solution steps

(a^{2} a^{2} a^{2})^{3}

Apply exponent rule:

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

(a^{2} a^{2} a^{2})^{3} = (a^{2})^{3} (a^{2})^{3} (a^{2})^{3}

= (a^{2})^{3} (a^{2})^{3} (a^{2})^{3}

Simplify

(a^{2})^{3} : a^{6}

= a^{6} (a^{2})^{3} (a^{2})^{3}

Simplify

(a^{2})^{3} : a^{6}

= a^{6} a^{6} (a^{2})^{3}

Simplify

(a^{2})^{3} : a^{6}

= a^{6} a^{6} a^{6}

Apply exponent rule:

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

a^{6} a^{6} a^{6} = a^{6 + 6 + 6}

= a^{6 + 6 + 6}

Add the numbers:

6 + 6 + 6 = 18

= a^{18}

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Frequently Asked Questions (FAQ)

What is (a^2*a^2*a^2)^3 ?
The solution to (a^2*a^2*a^2)^3 is a^{18}