Advertisements
Advertisements
Question
Find a repeater machine that will do the same work as a `(xx 1/8)` machine.
Advertisements
Solution
Machine, `1/8` are `1/2, 1/2, 1/2`.
So, `1/8 = 1/2 xx 1/2 xx 1/2 = (1/2)^3`
Hence, `(xx 1/2^3)` repeater machine can do the same work as a `(xx 1/8)` machine.
APPEARS IN
RELATED QUESTIONS
On multiplying ______ by 2–5 we get 25.
The value of [3–1 × 4–1]2 is ______.
If `(5^m xx 5^3 xx 5^-2)/5^-5 = 5^12`, find m.
The cells of a bacteria double in every 30 minutes. A scientist begins with a single cell. How many cells will be there after 24 hours?
Use the properties of exponents to verify that statement is true.
`1/4 (2^n) = 2^(n - 2)`
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`
Simplify:
`[(1/2)^2 - (1/4)^3]^-1 xx 2^-3`
Simplify:
`((3^-2)^2 xx (5^2)^-3 xx (t^-3)^2)/((3^-2)^5 xx (5^3)^-2 xx (t^-4)^3`
