SOLUTION: Evaluate each of the following exponential expressions by showing your work. NO DECIMALS in your final answers. 32^2/3 - 2^-2

Algebra ->  Human-and-algebraic-language -> SOLUTION: Evaluate each of the following exponential expressions by showing your work. NO DECIMALS in your final answers. 32^2/3 - 2^-2      Log On


   

Question 1155379: Evaluate each of the following exponential expressions by showing your work. NO DECIMALS in your final answers.
32^2/3 - 2^-2
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
Answer by greenestamps(13200) About Me  (Show Source):
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Is the first term "32^2/3" = 32%5E2%2F3 or "32^(2/3)" = 32%5E%282%2F3%29?

I would guess the second....

32%5E%282%2F3%29+=+%282%5E5%29%5E%282%2F3%29+=+2%5E%2810%2F3%29+=+8%2A2%5E%281%2F3%29

2%5E-2+=+1%2F2%5E2+=+1%2F4

So

32%5E%282%2F3%29-2%5E-2+=+8%2A2%5E%281%2F3%29-1%2F4