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Popular >

simplify 3x^2(4x^3)^3

Solution

simplify

3 x^{2} (4 x^{3})^{3}

Solution

192 x^{11}

Solution steps

3 x^{2} (4 x^{3})^{3}

Simplify

(4 x^{3})^{3} : 64 x^{9}

= 3 x^{2} \cdot 64 x^{9}

Multiply the numbers:

3 \cdot 64 = 192

= 192 x^{2} x^{9}

Apply exponent rule:

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

x^{2} x^{9} = x^{2 + 9}

= 192 x^{2 + 9}

Add the numbers:

2 + 9 = 11

= 192 x^{11}

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Frequently Asked Questions (FAQ)

What is 3x^2(4x^3)^3 ?
The solution to 3x^2(4x^3)^3 is 192x^{11}