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Popular >

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

Solution

simplify

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

Solution

a^{10} b^{8}

Solution steps

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

Apply exponent rule:

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

a^{5} a^{5} = a^{5 + 5}

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

Add the numbers:

5 + 5 = 10

= b^{5} a^{10} b^{3}

Apply exponent rule:

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

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

= a^{10} b^{5 + 3}

Add the numbers:

5 + 3 = 8

= a^{10} b^{8}

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Frequently Asked Questions (FAQ)

What is (a^5b^5)(a^5b^3) ?
The solution to (a^5b^5)(a^5b^3) is a^{10}b^8