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Popular >

simplify (4x)(4x^2)

Solution

simplify

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

Solution

16 x^{3}

Solution steps

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

Apply exponent rule:

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

4 \cdot 4 = 4^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

= 4^{2} x^{1 + 2}

Add the numbers:

1 + 2 = 3

= 4^{2} x^{3}

4^{2} = 16

= 16 x^{3}

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Frequently Asked Questions (FAQ)

What is (4x)(4x^2) ?
The solution to (4x)(4x^2) is 16x^3