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Popular >

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

Solution

simplify

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

Solution

90 a^{4} b^{4}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 + 1 = 4

= 3 \cdot 5 b \cdot 6 a^{4} b^{3}

Apply exponent rule:

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

b b^{3} = b^{1 + 3}

= 3 \cdot 5 \cdot 6 a^{4} b^{1 + 3}

Add the numbers:

1 + 3 = 4

= 3 \cdot 5 \cdot 6 a^{4} b^{4}

Multiply the numbers:

3 \cdot 5 \cdot 6 = 90

= 90 a^{4} b^{4}

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Frequently Asked Questions (FAQ)

What is 3a(5a^2b)(6ab^3) ?
The solution to 3a(5a^2b)(6ab^3) is 90a^4b^4