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Popular >

simplify 2x^2(3x^5)^2

Solution

simplify

2 x^{2} (3 x^{5})^{2}

Solution

18 x^{12}

Solution steps

2 x^{2} (3 x^{5})^{2}

Simplify

(3 x^{5})^{2} : 9 x^{10}

= 2 x^{2} \cdot 9 x^{10}

Multiply the numbers:

2 \cdot 9 = 18

= 18 x^{2} x^{10}

Apply exponent rule:

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

x^{2} x^{10} = x^{2 + 10}

= 18 x^{2 + 10}

Add the numbers:

2 + 10 = 12

= 18 x^{12}

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Frequently Asked Questions (FAQ)

What is 2x^2(3x^5)^2 ?
The solution to 2x^2(3x^5)^2 is 18x^{12}