Math Problem Statement

Write the following expression without negative exponents and without parentheses. −5x^−2

Solution

To rewrite the expression 5x2-5x^{-2} without negative exponents and without parentheses, we can apply the rule that an=1ana^{-n} = \frac{1}{a^n}.

For the given expression:

5x2=5x2-5x^{-2} = -\frac{5}{x^2}

So, the expression without negative exponents is:

5x2-\frac{5}{x^2}

Let me know if you'd like further details or explanations!

Here are five related questions:

  1. How do you simplify expressions with negative exponents in general?
  2. What other properties of exponents can help simplify expressions?
  3. Can you explain how to deal with zero exponents?
  4. How do you multiply two expressions with exponents?
  5. What happens when you divide two expressions with the same base and different exponents?

Tip: Always remember that negative exponents indicate reciprocation!

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Math Problem Analysis

Mathematical Concepts

Exponents
Negative Exponents
Algebraic Expressions

Formulas

a^(-n) = 1 / a^n

Theorems

Laws of Exponents

Suitable Grade Level

Grades 6-8