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Popular >

simplify (4a^2b^2)(a^3b^6)

Solution

simplify

(4 a^{2} b^{2}) (a^{3} b^{6})

Solution

4 a^{5} b^{8}

Solution steps

(4 a^{2} b^{2}) (a^{3} b^{6})

Apply exponent rule:

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

a^{2} a^{3} = a^{2 + 3}

= 4 b^{2} a^{2 + 3} b^{6}

Add the numbers:

2 + 3 = 5

= 4 b^{2} a^{5} b^{6}

Apply exponent rule:

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

b^{2} b^{6} = b^{2 + 6}

= 4 a^{5} b^{2 + 6}

Add the numbers:

2 + 6 = 8

= 4 a^{5} b^{8}

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Frequently Asked Questions (FAQ)

What is (4a^2b^2)(a^3b^6) ?
The solution to (4a^2b^2)(a^3b^6) is 4a^5b^8