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Popular >

simplify 3x(3x^2)

Solution

simplify

3 x (3 x^{2})

Solution

9 x^{3}

Solution steps

3 x (3 x^{2})

Apply exponent rule:

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

3 \cdot 3 = 3^{1 + 1}

= x \cdot 3^{1 + 1} x^{2}

Add the numbers:

1 + 1 = 2

= x \cdot 3^{2} x^{2}

Apply exponent rule:

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

x x^{2} = x^{1 + 2}

= 3^{2} x^{1 + 2}

Add the numbers:

1 + 2 = 3

= 3^{2} x^{3}

3^{2} = 9

= 9 x^{3}

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Frequently Asked Questions (FAQ)

What is 3x(3x^2) ?
The solution to 3x(3x^2) is 9x^3