Advertisements
Advertisements
Question
By what number should (–8)–3 be multiplied so that the product may be equal to (–6)–3?
Advertisements
Solution
Let x be the number multiplied with (–8)–3 to get the product equal to (–6)–3.
⇒ x × (–8)–3 = (–6)–3
⇒ `x = (-6)^-3/(-8)^-3`
= `(-8)^3/(-6)^3`
= `512/216`
= `64/27`
APPEARS IN
RELATED QUESTIONS
35 ÷ 3–6 can be simplified as ______.
On multiplying ______ by 2–5 we get 25.
The value of 5–2 is equal to 25.
Find the value of x so that (–2)3 × (–2)–6 = (–2)2x – 1
Find x so that `(2/9)^3 xx (2/9)^-6 = (2/9)^(2x - 1)`
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.
Find a single machine that will do the same job as the given hook-up.
a (× 24) machine followed by `(xx (1/2)^2)` machine.
Supply the missing information for diagram.
Find x.
`(- 1/7)^-5 ÷ (- 1/7)^-7 = (-7)^x`
Find x.
23x = 82x + 1
