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Popular >

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

Solution

simplify

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

Solution

8 a^{3} b^{9}

Solution steps

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

Apply exponent rule:

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

a^{2} a = a^{2 + 1}

= 4 b^{3} \cdot 2 a^{2 + 1} b^{6}

Add the numbers:

2 + 1 = 3

= 4 b^{3} \cdot 2 a^{3} b^{6}

Apply exponent rule:

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

b^{3} b^{6} = b^{3 + 6}

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

Add the numbers:

3 + 6 = 9

= 4 \cdot 2 a^{3} b^{9}

Multiply the numbers:

4 \cdot 2 = 8

= 8 a^{3} b^{9}

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Frequently Asked Questions (FAQ)

What is (4a^2b^3)(2ab^6) ?
The solution to (4a^2b^3)(2ab^6) is 8a^3b^9