Advertisements
Advertisements
Question
Simplify:
`[(1/2)^2 - (1/4)^3]^-1 xx 2^-3`
Advertisements
Solution
Given, `[(1/2)^2 - (1/4)^3]^-1 xx 2^-3`
= `(1/4 - 1/64)^-1 xx 2^-3`
= `((16 - 1)/64)^-1 xx 2^-3`
= `(15/64)^-1 xx 2^-3`
= `64/15 xx 1/8` ...`[∵ a^-m = 1/a^m]`
= `8/15`
APPEARS IN
RELATED QUESTIONS
Simplify and write the answer in the exponential form.
`1/8 xx (3)^(-3)`
The value of `1/4^-2` is ______.
329.25 = 3 × 102 + 2 × 101 + 9 × 100 + 2 × 10–1 + 5 × 10–2
`(-8/2)^0 = 0`
Planet A is at a distance of 9.35 × 106 km from Earth and planet B is 6.27 × 107 km from Earth. Which planet is nearer to Earth?
An electron’s mass is approximately 9.1093826 × 10–31 kilograms. What is this mass in grams?
Find a single repeater machine that will do the same work as hook-up.
If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines.
If a = – 1, b = 2, then find the value of the following:
ab × ba
Simplify:
`[(4/3)^-2 - (3/4)^2]^((-2))`
