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Popular >

simplify x(3x^2)^3

Solution

simplify

x (3 x^{2})^{3}

Solution

27 x^{7}

Solution steps

x (3 x^{2})^{3}

Simplify

(3 x^{2})^{3} : 27 x^{6}

= x \cdot 27 x^{6}

Apply exponent rule:

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

x x^{6} = x^{1 + 6}

= x^{1 + 6} \cdot 27

Add the numbers:

1 + 6 = 7

= x^{7} \cdot 27

= 27 x^{7}

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Frequently Asked Questions (FAQ)

What is x(3x^2)^3 ?
The solution to x(3x^2)^3 is 27x^7