Question: If a = 2^(3) and b = 2^(2), what is the value of a/b?
Options:
2^(1)
2^(2)
2^(3)
2^(5)
Correct Answer: 2^(1)
Solution:
a/b = 2^(3)/2^(2) = 2^(3-2) = 2^(1).
If a = 2^(3) and b = 2^(2), what is the value of a/b?
Practice Questions
Q1
If a = 2^(3) and b = 2^(2), what is the value of a/b?
2^(1)
2^(2)
2^(3)
2^(5)
Questions & Step-by-Step Solutions
If a = 2^(3) and b = 2^(2), what is the value of a/b?
Correct Answer: 2
Step 1: Calculate the value of a. Since a = 2^(3), we find that a = 2 * 2 * 2 = 8.
Step 2: Calculate the value of b. Since b = 2^(2), we find that b = 2 * 2 = 4.
Step 3: Now, we need to find a/b. We have a = 8 and b = 4.
Step 4: Divide a by b. So, a/b = 8/4 = 2.
Step 5: Alternatively, we can use the properties of exponents. We know that a/b = 2^(3)/2^(2).
Step 6: Using the rule of exponents, we can simplify this to 2^(3-2) = 2^(1).
Step 7: Finally, we find that 2^(1) = 2.
Exponents – Understanding the properties of exponents, specifically the quotient rule which states that when dividing two powers with the same base, you subtract the exponents.
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