Advertisements
Advertisements
Question
Evaluate the following:
`(1 - 15/64)^(-1/2)`
Sum
Advertisements
Solution
`(1 - 15/64)^(-1/2)`
= `((64 - 15)/64)^(-1/2)`
= `(49/64)^(-1/2)`
= `(64/49)^(1/2)`
= `(8)/(7)`.
shaalaa.com
Solving Exponential Equations
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Solve for x:
`2^(3x + 3) = 2^(3x + 1) + 48`
If 4x + 3 = 112 + 8 × 4x, find the value of (18x)3x.
If 5-P = 4-q = 20r, show that : `1/p + 1/q + 1/r = 0`
Evaluate : `[(-2/3)^-2]^3 xx (1/3)^-4 xx 3^-1 xx 1/6`
Evaluate the following:
`(12^2 xx 75^-2 xx 35 xx 400)/(48^2 xx 15^-3 xx 525)`
Solve for x:
2x + 3 + 2x + 1 = 320
Solve for x:
22x- 1 − 9 x 2x − 2 + 1 = 0
Find the value of k in each of the following:
`root(4)root(3)(x^2)` = xk
If `root(x)("a") = root(y)("b") = root(z)("c")` and abc = 1, prove that x + y + z = 0
Find the value of 'a' and 'b' if:
92a = `(root(3)(81))^(-6/"b") = (sqrt(27))^2`
