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Popular >

simplify 3(2x^3)^2

Solution

simplify

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

Solution

12 x^{6}

Solution steps

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

Apply exponent rule:

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

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

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

2^{2} = 4

= 3 \cdot 4 (x^{3})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

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

= 3 \cdot 4 x^{3 \cdot 2}

Multiply the numbers:

3 \cdot 2 = 6

= 3 \cdot 4 x^{6}

Multiply the numbers:

3 \cdot 4 = 12

= 12 x^{6}

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Frequently Asked Questions (FAQ)

What is 3(2x^3)^2 ?
The solution to 3(2x^3)^2 is 12x^6