is the answer to r2/3r-1/r-1/2
r7/6/r1
But isn't r7/6 = r6/6*r1/6 =
r*r1/6 and the r cancels in the top and bottom.
i'm sorry i'm still confused
r1/6/r ?
No.
r7/6/r = r6/6*r1/6/r = r1/6
ok got it now thank you
To find the answer to this expression, we need to simplify it step by step. Let's break it down:
Step 1: Combine the exponents of the same base
The given expression has multiple rational exponents (exponents in fractional form). To simplify, we need to combine the exponents of the same base.
In the numerator: r^(2/3) * r^(-1)
Using the exponent rule, when multiplying with the same base, we add the exponents:
r^(2/3) * r^(-1) = r^(2/3 + -1) = r^(2/3 - 3/3) = r^(-1/3)
In the denominator: r^(-1/2)
We don't need to simplify the exponent in the denominator as it's already in the simplest form.
So, the expression becomes:
(r^(-1/3))/(r^(-1/2))
Step 2: Apply the division of exponents rule
When dividing with the same base, we subtract the exponents:
r^(-1/3)/r^(-1/2) = r^((-1/3) - (-1/2)) = r^(-1/3 + 1/2) = r^(-2/6 + 3/6) = r^(1/6)
Therefore, the answer to the expression r^(2/3) * r^(-1) / r^(-1/2) is r^(1/6) or alternatively written as the 6th root of r.