Math Problem Statement

express 9 2 using positive exponents do not simplify

Solution

To express 929^{-2} using positive exponents, rewrite it as follows:

92=1929^{-2} = \frac{1}{9^2}

This is the expression for 929^{-2} in terms of positive exponents.


Would you like further clarification or details? Here are five related questions to expand your understanding:

  1. How would you simplify 192\frac{1}{9^2}?
  2. Can you rewrite xnx^{-n} in general terms using positive exponents?
  3. How do negative exponents work with fractions?
  4. What is the significance of the base in exponentiation?
  5. Can negative exponents apply to expressions with variables?

Tip: Negative exponents always represent the reciprocal of the base raised to the positive exponent.

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Math Problem Analysis

Mathematical Concepts

Exponentiation
Negative Exponents
Reciprocal

Formulas

a^{-n} = 1/a^n

Theorems

Law of exponents

Suitable Grade Level

Grades 6-8