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Popular >

simplify (4x^9)(4x^3)

Solution

simplify

(4 x^{9}) (4 x^{3})

Solution

16 x^{12}

Solution steps

(4 x^{9}) (4 x^{3})

Apply exponent rule:

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

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

= x^{9} \cdot 4^{1 + 1} x^{3}

Add the numbers:

1 + 1 = 2

= x^{9} \cdot 4^{2} x^{3}

Apply exponent rule:

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

x^{9} x^{3} = x^{9 + 3}

= 4^{2} x^{9 + 3}

Add the numbers:

9 + 3 = 12

= 4^{2} x^{12}

4^{2} = 16

= 16 x^{12}

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Frequently Asked Questions (FAQ)

What is (4x^9)(4x^3) ?
The solution to (4x^9)(4x^3) is 16x^{12}