Math Problem Statement

Simplify the expression a^(-4).

Solution

The image shows the expression a4a^{-4}, which is being rewritten as a fraction.

To simplify this:

  • The negative exponent rule states that an=1ana^{-n} = \frac{1}{a^n}.
  • Applying this to a4a^{-4}, we get:

a4=1a4a^{-4} = \frac{1}{a^4}

This is the result shown in the image.

Would you like further explanation on exponent rules or related topics? Here are 5 related questions you might find interesting:

  1. How do you simplify expressions with multiple negative exponents?
  2. What happens if the base aa is a fraction or a negative number?
  3. How do you simplify an expression like (a4)(a2)(a^{-4})(a^2)?
  4. Can you explain the product of powers rule?
  5. How do you work with fractional exponents?

Tip: Negative exponents represent reciprocals, which is why expressions like ana^{-n} become fractions with positive exponents!

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Math Problem Analysis

Mathematical Concepts

Algebra
Exponent Rules

Formulas

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

Theorems

Negative Exponent Rule

Suitable Grade Level

Grades 7-9