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Popular >

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

Solution

simplify

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

Solution

a^{3} b^{5} c^{5}

Solution steps

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

Apply exponent rule:

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

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

= b^{3} a^{2 + 1} b^{2} c^{5}

Add the numbers:

2 + 1 = 3

= b^{3} a^{3} b^{2} c^{5}

Apply exponent rule:

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

b^{3} b^{2} = b^{3 + 2}

= a^{3} b^{3 + 2} c^{5}

Add the numbers:

3 + 2 = 5

= a^{3} b^{5} c^{5}

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Frequently Asked Questions (FAQ)

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