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Popular >

simplify (2ab)(3ab^5)

Solution

simplify

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

Solution

6 a^{2} b^{6}

Solution steps

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

Apply exponent rule:

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

aa = a^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 5 = 6

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

Multiply the numbers:

2 \cdot 3 = 6

= 6 a^{2} b^{6}

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Frequently Asked Questions (FAQ)

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