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Popular >

simplify (2x)(2x^3)

Solution

simplify

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

Solution

4 x^{4}

Solution steps

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

Apply exponent rule:

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

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

= x \cdot 2^{1 + 1} x^{3}

Add the numbers:

1 + 1 = 2

= x \cdot 2^{2} x^{3}

Apply exponent rule:

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

x x^{3} = x^{1 + 3}

= 2^{2} x^{1 + 3}

Add the numbers:

1 + 3 = 4

= 2^{2} x^{4}

2^{2} = 4

= 4 x^{4}

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Frequently Asked Questions (FAQ)

What is (2x)(2x^3) ?
The solution to (2x)(2x^3) is 4x^4