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Answer:

  1. [tex]5^2 = 25[/tex]
  2. [tex]5^{-2}[/tex] = [tex]\frac{1}{25}[/tex]
  3. [tex](-5)^{2} = 25[/tex]
  4. [tex]-5^{2} =-25[/tex]

Solution:

We know the following rules:

  • Rule: If an exponent is negative, it will be in the fraction 1/nˣ.
  • Rule: If an exponent is positive, it will be in whole number form and will multiply itself m times.
  • Rule: if a number's exponent is 0, then the number is 1.

Now, let's solve each problem.

  • 5² = 5 x 5 = 25
  • 5⁻² = 1²/5² = 1/25
  • (-5)² = (-5) x (-5) = 25
  • -5² = -(5²) = -(25) = -25

Learn more about exponents: https://brainly.com/question/26553706