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Popular >

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

Solution

simplify

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

Solution

30 a^{3} b^{3}

Solution steps

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

Apply exponent rule:

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

aaa = a^{1 + 1 + 1}

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

Add the numbers:

1 + 1 + 1 = 3

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

Apply exponent rule:

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

b b^{2} = b^{1 + 2}

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

Add the numbers:

1 + 2 = 3

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

Multiply the numbers:

5 \cdot 3 \cdot 2 = 30

= 30 a^{3} b^{3}

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Frequently Asked Questions (FAQ)

What is (5ab)(3ab^2)(2a) ?
The solution to (5ab)(3ab^2)(2a) is 30a^3b^3