Math Problem Statement
If m = 4 and n = 3, find the value of the expression (5^m * 5^2) / 5^n
Solution
The expression to solve is:
where and .
Step 1: Substitute the values of and into the expression:
Step 2: Apply the laws of exponents.
Recall that for multiplication, we add exponents: So the expression becomes:
Step 3: Simplify the division of exponents.
For division, we subtract exponents:
Thus, the final result is:
The answer is .
Would you like more details or have any questions?
Here are 5 related questions you could explore:
- What happens if and ?
- How does the division of powers work for other bases, like 7 or 10?
- Can you explain the laws of exponents in more detail?
- How would the result change if the exponents were negative?
- What if the entire expression was raised to another exponent?
Tip: When working with powers, always remember to simplify using the exponent rules: add for multiplication and subtract for division.
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Math Problem Analysis
Mathematical Concepts
Exponents
Exponent Laws
Simplifying Expressions
Formulas
Multiplication of Powers: a^m * a^n = a^(m+n)
Division of Powers: a^m / a^n = a^(m-n)
Theorems
Laws of Exponents
Suitable Grade Level
Grades 8-10