Advertisements
Advertisements
प्रश्न
Simplify:
`(4/13)^4 xx (13/7)^2 xx (7/4)^3`
Advertisements
उत्तर
Given, `(4/13)^4 xx (13/7)^2 xx (7/4)^3`
= `(4)^4/(13)^4 xx (13)^2/(7)^2 xx (7)^3/(4)^3`
= `(4)^4 xx (4)^-3 xx (13)^2 xx (13)^-4 xx (7)^3 xx (7)^-2` ...`[∵ a^-m = 1/a^m]`
= `(4)^(4 - 3) xx (13)^(2 - 4) xx (7)^(3 - 2)` ...`[∵ a^m xx a^n = a^(m - n)]`
= `(4)^1 xx (13)^-2 xx (7)^1`
= `4 xx 1/169 xx 7` ...`[∵ a^-m = 1/a^m]`
= `28/169`
APPEARS IN
संबंधित प्रश्न
The value of `(-2/3)^4` is equal to ______.
The value of (7–1 – 8–1) –1 – (3–1 – 4–1) –1 is ______.
a3 × a–10 = ______.
[2–1 + 3–1 + 4–1]0 = ______.
`(-8/2)^0 = 0`
Express as a power of a rational number with negative exponent.
`(((-3)/2)^-2)^-3`
Simplify:
`(1/4)^-2 + (1/2)^-2 + (1/3)^-2`
By what number should (–15)–1 be divided so that quotient may be equal to (–15)–1?
What happens when 1 cm worms are sent through these hook-ups?
Find x.
2x + 2x + 2x = 192
