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Simplify 9 ^ 3/2 - 25 ^ 1/2

1 Answer

4 votes

9514 1404 393

Answer:

  • as written: 352
  • as perhaps intended: 22

Explanation:

When you ask for evaluation of a math expression, you need to write what you mean.

Here, the order of operations requires you compute the exponentials before you do the division or addition:

9 ^ 3/2 - 25 ^ 1/2 = (9^3)/2 -(25^1)/2

= 729/2 -25/2 = 364.5 -12.5 = 352

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It seems quite likely that you intend the exponents to be 3/2 and 1/2. In that case, parentheses are required.

9 ^ (3/2) - 25 ^ (1/2) = 27 -5 = 22

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Your calculator can evaluate arithmetic expressions for you.

Simplify 9 ^ 3/2 - 25 ^ 1/2-example-1
Simplify 9 ^ 3/2 - 25 ^ 1/2-example-2
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