Math Problem Statement

solve the math problem above answers only

solve the math problem above answers only

Solution

I have opened the image. Let me analyze it to extract the mathematical content and solve the problem.The problem asks to find the value of an expression and check which of the following has the same value:

  1. 5552\frac{5^5}{5^2}

    This simplifies to:

    5552=552=53=125\frac{5^5}{5^2} = 5^{5-2} = 5^3 = 125

  2. Check which of the following expressions also equals 53=1255^3 = 125:

    The correct expression with the same value is 535^3.

Would you like further details, or do you have any questions?

Here are 5 related questions to expand this concept:

  1. How do we simplify expressions with the same base?
  2. What is the general rule for dividing exponents with the same base?
  3. How can the rule be applied to other exponents like 2624\frac{2^6}{2^4}?
  4. Why do exponents subtract during division of powers?
  5. What would happen if the bases were different?

Tip: Always remember that when multiplying or dividing exponents with the same base, use the rules of adding or subtracting the exponents.

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Math Problem Analysis

Mathematical Concepts

Exponents
Simplifying Expressions

Formulas

a^m / a^n = a^(m-n)
Base exponentiation rules

Theorems

Exponent rules for division

Suitable Grade Level

Grades 6-8