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Popular >

simplify (3a^2b^6)(7ab^4)

Solution

simplify

(3 a^{2} b^{6}) (7 a b^{4})

Solution

21 a^{3} b^{10}

Solution steps

(3 a^{2} b^{6}) (7 a b^{4})

Apply exponent rule:

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

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

= 3 b^{6} \cdot 7 a^{2 + 1} b^{4}

Add the numbers:

2 + 1 = 3

= 3 b^{6} \cdot 7 a^{3} b^{4}

Apply exponent rule:

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

b^{6} b^{4} = b^{6 + 4}

= 3 \cdot 7 a^{3} b^{6 + 4}

Add the numbers:

6 + 4 = 10

= 3 \cdot 7 a^{3} b^{10}

Multiply the numbers:

3 \cdot 7 = 21

= 21 a^{3} b^{10}

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Frequently Asked Questions (FAQ)

What is (3a^2b^6)(7ab^4) ?
The solution to (3a^2b^6)(7ab^4) is 21a^3b^{10}