Advertisements
Advertisements
प्रश्न
Express as a power of a rational number with negative exponent.
`(((-3)/2)^-2)^-3`
उत्तर
Using laws of exponents, (am)n = (a)m × n and `a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ `(((-3)/2)^-2)^-3 = ((-3)/2)^(-2 xx (-3))`
= `((-3)/2)^6`
= `(2/3)^-6`
APPEARS IN
संबंधित प्रश्न
Find the value of 2–3.
For a non-zero rational number z, (z–2)3 is equal to ______.
The value of `1/4^-2` is equal to 16.
Find the product of the cube of (–2) and the square of (+4).
Find the multiplicative inverse of (–7)–2 ÷ (90)–1.
`(125 xx x^-3)/(5^-3 xx 25 xx x^-6)`
The cells of a bacteria double in every 30 minutes. A scientist begins with a single cell. How many cells will be there after 12 hours?
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.
Find x.
`((-6)/7)^(x - 7) = 1`
Simplify:
`((3^-2)^2 xx (5^2)^-3 xx (t^-3)^2)/((3^-2)^5 xx (5^3)^-2 xx (t^-4)^3`