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Popular >

simplify 6a*(3a^3)^2

Solution

simplify

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

Solution

54 a^{7}

Solution steps

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

Simplify

(3 a^{3})^{2} : 9 a^{6}

= 6 a \cdot 9 a^{6}

Multiply the numbers:

6 \cdot 9 = 54

= 54 a a^{6}

Apply exponent rule:

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

a a^{6} = a^{1 + 6}

= 54 a^{1 + 6}

Add the numbers:

1 + 6 = 7

= 54 a^{7}

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Frequently Asked Questions (FAQ)

What is 6a*(3a^3)^2 ?
The solution to 6a*(3a^3)^2 is 54a^7