Using the property of exponents, a^m × a^n = a^(m+n), we get 2^(5+3) = 2^8.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the value of 2^5 × 2^3?
Solution: Using the property of exponents, a^m × a^n = a^(m+n), we get 2^(5+3) = 2^8.
Steps: 5
Step 1: Identify the bases and exponents in the expression 2^5 × 2^3. The base is 2, and the exponents are 5 and 3.
Step 2: Use the property of exponents that says when you multiply two numbers with the same base, you can add their exponents. This means 2^5 × 2^3 = 2^(5+3).
Step 3: Calculate the sum of the exponents: 5 + 3 = 8.
Step 4: Write the expression with the new exponent: 2^(5+3) = 2^8.
