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What is the result of 5^2 * 5^(-3)? (2023)
Practice Questions
Q1
What is the result of 5^2 * 5^(-3)? (2023)
5^1
5^(-1)
5^0
5^(-5)
Questions & Step-by-Step Solutions
What is the result of 5^2 * 5^(-3)? (2023)
Steps
Concepts
Step 1: Identify the expression we need to solve: 5^2 * 5^(-3).
Step 2: Recall the property of exponents that says when you multiply two numbers with the same base, you add their exponents.
Step 3: Apply this property to our expression: 5^2 * 5^(-3) becomes 5^(2 + (-3)).
Step 4: Calculate the exponent: 2 + (-3) equals -1.
Step 5: Rewrite the expression with the new exponent: 5^(2 + (-3)) = 5^(-1).
Step 6: The final result is 5^(-1).
No concepts available.
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