Advertisements
Advertisements
Question
The value of x − yx-y when x = 2 and y = −2 is
Options
18
-18
14
-14
Advertisements
Solution
Given `x- y ^(x-y)`
Here `x = 2, =-2`
By substituting in `x- y ^(x-y)` we get
`x-y^(x-y) = 2-(-2)^(2-(-2))`
`= 2-(-2)^(2 +2))`
`= 2-(-2)^4`
= -14
The value of `x- y ^(x-y)`is – 14
Hence the correct choice is d .
APPEARS IN
RELATED QUESTIONS
Simplify:-
`2^(2/3). 2^(1/5)`
If `1176=2^a3^b7^c,` find a, b and c.
Assuming that x, y, z are positive real numbers, simplify the following:
`(sqrt2/sqrt3)^5(6/7)^2`
Simplify:
`((25)^(3/2)xx(243)^(3/5))/((16)^(5/4)xx(8)^(4/3))`
Prove that:
`9^(3/2)-3xx5^0-(1/81)^(-1/2)=15`
If `5^(3x)=125` and `10^y=0.001,` find x and y.
State the quotient law of exponents.
If 3x-1 = 9 and 4y+2 = 64, what is the value of \[\frac{x}{y}\] ?
If x-2 = 64, then x1/3+x0 =
If x= \[\frac{\sqrt{3} - \sqrt{2}}{\sqrt{3} + \sqrt{2}}\] and y = \[\frac{\sqrt{3} + \sqrt{2}}{\sqrt{3} - \sqrt{2}}\] , then x2 + y +y2 =
