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Popular >

simplify (2x^3)(2x^5)

Solution

simplify

(2 x^{3}) (2 x^{5})

Solution

4 x^{8}

Solution steps

(2 x^{3}) (2 x^{5})

Apply exponent rule:

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

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

= x^{3} \cdot 2^{1 + 1} x^{5}

Add the numbers:

1 + 1 = 2

= x^{3} \cdot 2^{2} x^{5}

Apply exponent rule:

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

x^{3} x^{5} = x^{3 + 5}

= 2^{2} x^{3 + 5}

Add the numbers:

3 + 5 = 8

= 2^{2} x^{8}

2^{2} = 4

= 4 x^{8}

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Frequently Asked Questions (FAQ)

What is (2x^3)(2x^5) ?
The solution to (2x^3)(2x^5) is 4x^8