What is 5x^4*(x^2)^3*(2x)^2 ?

The solution to 5x^4*(x^2)^3*(2x)^2 is 20x^{12}

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

simplify

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

20 x^{12}

Solution steps

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

Simplify

(x^{2})^{3} : x^{6}

= 5 x^{4} x^{6} (2 x)^{2}

Simplify

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

= 5 x^{4} x^{6} \cdot 4 x^{2}

Multiply the numbers:

5 \cdot 4 = 20

= 20 x^{4} x^{6} x^{2}

Apply exponent rule:

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

x^{4} x^{6} x^{2} = x^{4 + 6 + 2}

= 20 x^{4 + 6 + 2}

Add the numbers:

4 + 6 + 2 = 12

= 20 x^{12}

1 + j^{0}

\frac{y}{- 0.25}

\frac{1}{2 x ^{0.1} x 12 0 ^{2}}

(x^{2} - 1)^{8}

15 x^{4} x^{10} x^{125}