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Popular >

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

Solution

simplify

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

Solution

10 a^{3} b^{8}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

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

Apply exponent rule:

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

b^{3} b^{5} = b^{3 + 5}

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

Add the numbers:

3 + 5 = 8

= 2 \cdot 5 a^{3} b^{8}

Multiply the numbers:

2 \cdot 5 = 10

= 10 a^{3} b^{8}

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Frequently Asked Questions (FAQ)

What is (2ab^3)(5a^2b^5) ?
The solution to (2ab^3)(5a^2b^5) is 10a^3b^8