Simplify the following using positive exponents only

Include all necessary steps

(First 2 questions are Fractions)

1) a^2b^3c^-2
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ab^-3c^5

2) ab^3c^5
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a^2b^3c^-2

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

4) (a^2b^3c^-2)^2

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

1) a^2/a = a, just subtract exponents, b^3/b^-3, once again subtract you get b^6, c^2/c^5, subtract you get negative 3 so just keep the c on the bottom and you get ab^6/c^3

ab^6/c^3

2)a^1/a^2, subtract you get negative one so the a is on the bottom, b's cancel when you subtract, c^5/c^-2 subtract and you get c^7, so you get c^7/a

c^7/a

3)Just add exponents when multiplying, you get a^3, b's cancel, c^3, the answer is a^3c^3

a^3c^3

4)Just distribute the add the ^2 to the other exponents, you get a^4b^5 since the c's cancel.

a^4b^5

5)Add the ^3 first only to the last expression though since that is the only being affected by the exponent. (a^4c^8), now multiply by the other expression and you get a^6b^3c^5.

a^6b^3c^5

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