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Popular >

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

Solution

simplify

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

Solution

8 a^{8} b^{3}

Solution steps

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

Apply exponent rule:

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

a^{2} a^{6} = a^{2 + 6}

= 4 b^{2} \cdot 2 a^{2 + 6} b

Add the numbers:

2 + 6 = 8

= 4 b^{2} \cdot 2 a^{8} b

Apply exponent rule:

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

b^{2} b = b^{2 + 1}

= 4 \cdot 2 a^{8} b^{2 + 1}

Add the numbers:

2 + 1 = 3

= 4 \cdot 2 a^{8} b^{3}

Multiply the numbers:

4 \cdot 2 = 8

= 8 a^{8} b^{3}

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Frequently Asked Questions (FAQ)

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