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Popular >

simplify (2x^8)(2x^4)

Solution

simplify

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

Solution

4 x^{12}

Solution steps

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

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

= x^{8} \cdot 2^{1 + 1} x^{4}

Add the numbers:

1 + 1 = 2

= x^{8} \cdot 2^{2} x^{4}

Apply exponent rule:

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

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

= 2^{2} x^{8 + 4}

Add the numbers:

8 + 4 = 12

= 2^{2} x^{12}

2^{2} = 4

= 4 x^{12}

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Frequently Asked Questions (FAQ)

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