Examples of Exponent Rules

In math we write symbolic math statements to describe procedures. So to the right of example 1
is the mathematical generalization statement describing the work done in example one.
I would like you to do the same for the other examples and also write in words an explanation
of the work done in each problem.

1.  a⁴ x  a³ = a^{4 + 3} = a⁷      generalized math description  →  a^u x  a^v = a^{u + v} answer


2.  (a⁵)³ = (a⁵)(a⁵)(a⁵) = (a^{5 + 5 + 5}) = a¹⁵ or
   (a⁵)³ = (a^{5 x 3}) = a¹⁵ answer


3.  (a³b²)⁴ = a^3x4b^2x4 = a¹²b⁸ answer


4.  What does (a^tb^yf ^rp^m)^u =  answer
   
   

5.  x⁵/x³ = x^{5 - 3} = x² answer



6.  (x⁵/t³)⁴ = x^{5 x 4}/t^{3 x 4} = x²⁰/t¹² answer



7.  What does (a^t/b^yf ^r)^u = answer



8.  x⁰ = 1    x ≠ 0



9.  a^-2 = 1/a²  a ≠ 0

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