How do i simplify expressions using exponent rules?

Question

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Answer 1

Depends on what you mean by "simplify"?  Adding, subtracting, multiplying or dividing.  There are many rules for exponents. 

 

7 Rules (* is multiplication, / is division)

 

1) x^m * xⁿ  = x^m+n  (Product rule - add the exponents)

2) ( x^m)ⁿ = (x)^m*n  (Power Rule)

3) x^m * yⁿ = x^m * yⁿ (Product Rule - 2 different bases)

4) (x^m * yⁿ)^z = x^(m*z) + y^(n*z) (Power Rule - 2 bases

(x^m/yⁿ)^z = x^m*z/y^n*z

5) x^-m = 1/x^m (Negative Rule)

6) x^m/xⁿ = x^m-n (Quotient Rule)

7) x⁰ = 1

 

√a = a^1/2