Math Problem Statement

The expression in the image is: -5 / 4^2

Solution

The expression in the image is:

542\frac{-5}{4^2}

To simplify:

  1. First, calculate 424^2: 42=164^2 = 16

  2. Now, divide 5-5 by 16: 516\frac{-5}{16}

So, the simplified result is 516-\frac{5}{16}.

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

Here are some related questions to expand on this:

  1. How do you simplify other fractions with exponents in the denominator?
  2. What happens if the numerator is also a power of a number?
  3. How can you express negative fractions in decimal form?
  4. What is the difference between negative exponents and negative numbers in fractions?
  5. How would this result change if the denominator was a negative number?

Tip: When simplifying fractions with exponents in the denominator, always calculate the exponent first and then simplify the fraction.

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Math Problem Analysis

Mathematical Concepts

Fractions
Exponents

Formulas

Exponentiation
Fraction simplification

Theorems

Exponent rules

Suitable Grade Level

Grades 6-8