Advertisements
Advertisements
Question
Simplify:
`[(4/3)^-2 - (3/4)^2]^((-2))`
Advertisements
Solution
Given, `[(4/3)^-2 - (3/4)^2]^((-2))`
= `[(3/4)^2 - (3/4)^2]^-2`
= [0]–2
= 0
APPEARS IN
RELATED QUESTIONS
`(3/4)^5 ÷ (5/3)^5` is equal to ______.
On dividing 85 by ______ we get 8.
50 = 5
Solve the following:
`(1/2)^-2 ÷ (1/2)^-3`
Find the value of x–3 if x = (100)1 – 4 ÷ (100)0.
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.
Will the insect ever get to 1? Explain.
Consider a quantity of a radioactive substance. The fraction of this quantity that remains after t half-lives can be found by using the expression 3–t. What fraction of substance remains after 7 half-lives?
Use the properties of exponents to verify that statement is true.
`1/4 (2^n) = 2^(n - 2)`
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

Find x.
2x + 2x + 2x = 192
