Advertisements
Advertisements
प्रश्न
Simplify:
`[(4/3)^-2 - (3/4)^2]^((-2))`
उत्तर
Given, `[(4/3)^-2 - (3/4)^2]^((-2))`
= `[(3/4)^2 - (3/4)^2]^-2`
= [0]–2
= 0
APPEARS IN
संबंधित प्रश्न
If x be any non-zero integer and m, n be negative integers, then xm × xn is equal to ______.
Solve the following:
2–2 × 2–3
By what number should `((-3)/2)^-3` be divided so that the quotient may be `(4/27)^-2`?
An insect is on the 0 point of a number line, hopping towards 1. She covers half the distance from her current location to 1 with each hop. So, she will be at `1/2` after one hop, `3/4` after two hops, and so on.
- Make a table showing the insect’s location for the first 10 hops.
- Where will the insect be after n hops?
- Will the insect ever get to 1? Explain.
Use the properties of exponents to verify that statement is true.
25(5n – 2) = 5n
Find a single repeater machine that will do the same work as hook-up.
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
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 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.
Mass of Mars is 6.42 × 1029 kg and mass of the Sun is 1.99 × 1030 kg. What is the total mass?