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Which of the following is equivalent to 2^(3) * 2^(2)?
Which of the following is equivalent to 2^(3) * 2^(2)?
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Practice Questions
1 question
Q1
Which of the following is equivalent to 2^(3) * 2^(2)?
2^(5)
2^(6)
2^(7)
2^(8)
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Using the property a^m * a^n = a^(m+n), we have 2^(3+2) = 2^(5).
Questions & Step-by-step Solutions
1 item
Q
Q: Which of the following is equivalent to 2^(3) * 2^(2)?
Solution:
Using the property a^m * a^n = a^(m+n), we have 2^(3+2) = 2^(5).
Steps: 6
Show Steps
Step 1: Identify the bases and exponents in the expression 2^(3) * 2^(2).
Step 2: Recognize that both terms have the same base, which is 2.
Step 3: Use the property of exponents that states a^m * a^n = a^(m+n).
Step 4: Apply this property to combine the exponents: 2^(3) * 2^(2) becomes 2^(3+2).
Step 5: Calculate the sum of the exponents: 3 + 2 = 5.
Step 6: Write the final result: 2^(3) * 2^(2) is equivalent to 2^(5).
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