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Popular >

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

Solution

simplify

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

Solution

12 a^{3} b^{6}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

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

Apply exponent rule:

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

b^{2} b^{4} = b^{2 + 4}

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

Add the numbers:

2 + 4 = 6

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

Multiply the numbers:

6 \cdot 2 = 12

= 12 a^{3} b^{6}

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Frequently Asked Questions (FAQ)

What is (6ab^2)(2a^2b^4) ?
The solution to (6ab^2)(2a^2b^4) is 12a^3b^6