Math Problem Statement

(6^2 - 24)^2 ÷ (x/y)^-5

Solution

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The equation in the image is:

(6224)2÷(xy)5(6^2 - 24)^2 \div \left(\frac{x}{y}\right)^{-5}

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Here are a few possible questions related to this expression:

  1. How do we simplify the expression (6224)2(6^2 - 24)^2?
  2. What does dividing by a fraction raised to a negative exponent imply?
  3. How can we simplify a fraction raised to a negative power?
  4. How can this equation be expressed in terms of xx and yy only?
  5. What other types of exponent rules can we apply to similar problems?

Tip: When dealing with negative exponents, remember that an=1ana^{-n} = \frac{1}{a^n}.

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Math Problem Analysis

Mathematical Concepts

Exponents
Algebraic Simplification
Fractional Exponents

Formulas

a^-n = 1/a^n
(a/b)^-n = (b/a)^n
a^m ÷ a^n = a^(m-n)

Theorems

Exponent Rules
Properties of Exponents

Suitable Grade Level

Grades 9-12