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Popular >

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

Solution

simplify

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

Solution

a^{5} b^{6}

Solution steps

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

Apply exponent rule:

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

a^{2} a^{3} = a^{2 + 3}

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

Add the numbers:

2 + 3 = 5

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 3 = 6

= a^{5} b^{6}

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Frequently Asked Questions (FAQ)

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