Using the property of exponents, (5^3 * 5^2) = 5^(3+2) = 5^5. Thus, (5^5) / (5^4) = 5^(5-4) = 5^1 = 5.
What is the value of (5^3 * 5^2) / 5^4?
Practice Questions
Q1
What is the value of (5^3 * 5^2) / 5^4?
5
1
25
125
Questions & Step-by-Step Solutions
What is the value of (5^3 * 5^2) / 5^4?
Step 1: Identify the expression we need to solve: (5^3 * 5^2) / 5^4.
Step 2: Use the property of exponents that says when you multiply like bases, you add the exponents. So, calculate 5^3 * 5^2 as follows: 3 + 2 = 5. This gives us 5^5.
Step 3: Now, rewrite the expression with the new value: (5^5) / (5^4).
Step 4: Use the property of exponents that says when you divide like bases, you subtract the exponents. So, calculate 5^5 / 5^4 as follows: 5 - 4 = 1. This gives us 5^1.
Step 5: Finally, simplify 5^1, which is just 5.
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