Divide x to the 3 fourths power divided by x to the 1 sixth power.
We may make use of various exponential formulas to solve the problem.
Answer: The quotient of x to the 3 fourths power divided by x to the 1 sixth power is x7/12.
Go through the explanation to understand better.
Laws of exponents formula:
There are various exponents formulas, that can be used in any algebraic expression, mostly in reducing the expression to a lower degree expression. Some of the useful exponent's formulas are given below:
xn / xm = x(n - m)
xn × xm = x(n + m)
(xy)z = x(y×z)
x-n = 1 / xn
To divide x to the 3 fourths power divided by x to the 1 sixth power
x3/4 / x1/6
Using the above mentioned exponential properties and formulas,
⇒ xn / xm = x(n - m)
⇒ x3/4 / x1/6 = x(3/4 - 1/6)