What is the value of 5^(2) * 5^(3) / 5^(4)? (2023)

₹0.0

Question: What is the value of 5^(2) * 5^(3) / 5^(4)? (2023)

Options:

Correct Answer: 5

Exam Year: 2023

Solution:

Using the property of exponents, we have 5^(2 + 3 - 4) = 5^1 = 5.

What is the value of 5^(2) * 5^(3) / 5^(4)? (2023)

What is the value of 5^(2) * 5^(3) / 5^(4)? (2023)

Step 1: Identify the expression we need to simplify: 5^(2) * 5^(3) / 5^(4).
Step 2: Use the property of exponents that says when you multiply like bases, you add the exponents. So, 5^(2) * 5^(3) becomes 5^(2 + 3).
Step 3: Calculate the sum of the exponents: 2 + 3 = 5. Now we have 5^(5) / 5^(4).
Step 4: Now, use the property of exponents that says when you divide like bases, you subtract the exponents. So, 5^(5) / 5^(4) becomes 5^(5 - 4).
Step 5: Calculate the difference of the exponents: 5 - 4 = 1. Now we have 5^(1).
Step 6: Finally, 5^(1) is simply 5.

No concepts available.