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Popular >

simplify (4x^3)(2x^5)^3

Solution

simplify

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

Solution

32 x^{18}

Solution steps

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

Simplify

(2 x^{5})^{3} : 8 x^{15}

= 4 x^{3} \cdot 8 x^{15}

Multiply the numbers:

4 \cdot 8 = 32

= 32 x^{3} x^{15}

Apply exponent rule:

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

x^{3} x^{15} = x^{3 + 15}

= 32 x^{3 + 15}

Add the numbers:

3 + 15 = 18

= 32 x^{18}

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Frequently Asked Questions (FAQ)

What is (4x^3)(2x^5)^3 ?
The solution to (4x^3)(2x^5)^3 is 32x^{18}