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Popular >

simplify x^8(2x)^4

Solution

simplify

x^{8} (2 x)^{4}

Solution

16 x^{12}

Solution steps

x^{8} (2 x)^{4}

Simplify

(2 x)^{4} : 16 x^{4}

= x^{8} \cdot 16 x^{4}

Apply exponent rule:

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

x^{8} x^{4} = x^{8 + 4}

= x^{8 + 4} \cdot 16

Add the numbers:

8 + 4 = 12

= x^{12} \cdot 16

= 16 x^{12}

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Frequently Asked Questions (FAQ)

What is x^8(2x)^4 ?
The solution to x^8(2x)^4 is 16x^{12}