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Popular >

simplify (a^2b^3)(a^5b^8c)

Solution

simplify

(a^{2} b^{3}) (a^{5} b^{8} c)

Solution

a^{7} b^{11} c

Solution steps

(a^{2} b^{3}) (a^{5} b^{8} c)

Apply exponent rule:

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

a^{2} a^{5} = a^{2 + 5}

= b^{3} a^{2 + 5} b^{8} c

Add the numbers:

2 + 5 = 7

= b^{3} a^{7} b^{8} c

Apply exponent rule:

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

b^{3} b^{8} = b^{3 + 8}

= a^{7} b^{3 + 8} c

Add the numbers:

3 + 8 = 11

= a^{7} b^{11} c

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Frequently Asked Questions (FAQ)

What is (a^2b^3)(a^5b^8c) ?
The solution to (a^2b^3)(a^5b^8c) is a^7b^{11}c