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Popular >

simplify (4x^3)(4x)

Solution

simplify

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

Solution

16 x^{4}

Solution steps

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

Apply exponent rule:

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

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

= x^{3} \cdot 4^{1 + 1} x

Add the numbers:

1 + 1 = 2

= x^{3} \cdot 4^{2} x

Apply exponent rule:

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

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

= 4^{2} x^{3 + 1}

Add the numbers:

3 + 1 = 4

= 4^{2} x^{4}

4^{2} = 16

= 16 x^{4}

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Frequently Asked Questions (FAQ)

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