Your answer is D 18. The exact answer is 18.288.
In order to rewrite an expression in radical form using exponents, we must consider the power of the root (is the radical the typical square root, cubed root, etc) and the value of any exponents contained in the radical.
Using this information, we will make the power of the radical the denominator of our exponent, and whatever exponent is contained in the radical will become the numerator.
Example:
√(x³) = square root of x³ = x^(3/2)
If Sheila started with 8 yards of fabric and used 2 1/4 yards, she will have the difference of these two values remaining. Subtract 2 1/4 from 8.
Convert the mixed fraction to an improper fraction. (Multiply its denominator by the whole number and replace the numerator with this new number.)
2 1/4 = 9/4
We now have:
8/1 - 9/4
Multiply 8/1 by 4/4 to get common denominators.
8/1 × 4/4 = 32/4
Now subtract.
32/4 - 9/4 = 23/4 = 5.75
Alternatively, we could have converted the fraction 2 1/4 to decimal form and subtracted it from 8.
2 1/4 = 2.25
8 - 2.25 = 5.75
Answer:
Sheila has 5.75 yards of fabric left.
