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Popular >

factor (2a^3b^2)^3

Solution

factor

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

Solution

8 a^{9} b^{6}

Solution steps

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

Apply exponent rule:

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

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

(a^{3})^{3} : a^{9}

= 2^{3} a^{9} (b^{2})^{3}

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

= 2^{3} a^{9} b^{6}

2^{3} = 8

= 8 a^{9} b^{6}

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Frequently Asked Questions (FAQ)

What is factor (2a^3b^2)^3 ?
The solution to factor (2a^3b^2)^3 is 8a^9b^6