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Popular >

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

Solution

simplify

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

Solution

12 a^{4} b^{6}

Solution steps

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

Apply exponent rule:

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

a^{3} a = a^{3 + 1}

= 6 b \cdot 2 a^{3 + 1} b^{5}

Add the numbers:

3 + 1 = 4

= 6 b \cdot 2 a^{4} b^{5}

Apply exponent rule:

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

b b^{5} = b^{1 + 5}

= 6 \cdot 2 a^{4} b^{1 + 5}

Add the numbers:

1 + 5 = 6

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

Multiply the numbers:

6 \cdot 2 = 12

= 12 a^{4} b^{6}

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Frequently Asked Questions (FAQ)

What is 6a^3b(2ab^5) ?
The solution to 6a^3b(2ab^5) is 12a^4b^6