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Popular >

simplify (3a^2b)(2a^5b^6)

Solution

simplify

(3 a^{2} b) (2 a^{5} b^{6})

Solution

6 a^{7} b^{7}

Solution steps

(3 a^{2} b) (2 a^{5} b^{6})

Apply exponent rule:

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

a^{2} a^{5} = a^{2 + 5}

= 3 b \cdot 2 a^{2 + 5} b^{6}

Add the numbers:

2 + 5 = 7

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

Apply exponent rule:

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

b b^{6} = b^{1 + 6}

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

Add the numbers:

1 + 6 = 7

= 3 \cdot 2 a^{7} b^{7}

Multiply the numbers:

3 \cdot 2 = 6

= 6 a^{7} b^{7}

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Frequently Asked Questions (FAQ)

What is (3a^2b)(2a^5b^6) ?
The solution to (3a^2b)(2a^5b^6) is 6a^7b^7