Question: If x = 2^(3) and y = 2^(4), what is the value of x/y?
Options:
1/2
1/4
2
4
Correct Answer: 2
Solution:
x/y = 2^(3)/2^(4) = 2^(3-4) = 2^(-1) = 1/2.
If x = 2^(3) and y = 2^(4), what is the value of x/y?
Practice Questions
Q1
If x = 2^(3) and y = 2^(4), what is the value of x/y?
1/2
1/4
2
4
Questions & Step-by-Step Solutions
If x = 2^(3) and y = 2^(4), what is the value of x/y?
Correct Answer: 1/2
Step 1: Calculate the value of x. Since x = 2^(3), we find that x = 2 * 2 * 2 = 8.
Step 2: Calculate the value of y. Since y = 2^(4), we find that y = 2 * 2 * 2 * 2 = 16.
Step 3: Now, we need to find the value of x/y. This means we will divide x by y: x/y = 8/16.
Step 4: Simplify the fraction 8/16. We can divide both the top and bottom by 8, which gives us 1/2.
Step 5: Therefore, the final answer for x/y is 1/2.
Exponents – Understanding the properties of exponents, particularly the quotient rule which states that when dividing two powers with the same base, you subtract the exponents.
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