Advertisements
Advertisements
Question
Solve the following:
`(1/2)^-2 ÷ (1/2)^-3`
Advertisements
Solution
`(1/2)^-2 ÷ (1/2)^-3`
Using am ÷ an = am – n
`\implies (1/2)^(-2 - (-3))`
= `(1/2)^(-2 + 3)`
= `1/2`
= 2–1
APPEARS IN
RELATED QUESTIONS
Simplify and write the answer in the exponential form.
`(- 3)^4 xx (5/3)^4`
By solving (60 – 70) × (60 + 70) we get ______.
(–7)–4 × (–7)2 = (–7)–2
am × bm = (ab)m
Find the value of x so that `(5/3)^-2 xx (5/3)^-14 = (5/3)^(8x)`
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.
Where will the insect be after n hops?
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.

Supply the missing information for diagram.

Simplify:
`((9)^3 xx 27 xx t^4)/((3)^-2 xx (3)^4 xx t^2)`
