Advertisements
Advertisements
प्रश्न
`(125 xx x^-3)/(5^-3 xx 25 xx x^-6)`
Advertisements
उत्तर
Using laws of exponents,
am + an = (a)n – m and `a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ `(125 xx x^-3)/(5^-3 xx 25 xx x^-6) = (5)^3 xx 5^3 xx 5^-2 xx x^-3 xx x^6` ....`[(∵ 125 = 5 xx 5 xx 5),("and" 25 = 5 xx 5)]`
= 54 × x3
= 5 × 5 × 5 × 5 × x3 ...[∵ am × an = am + n]
= 625 x3
APPEARS IN
संबंधित प्रश्न
Simplify :
(– 4)5 × (– 4)-10
If x be any integer different from zero and m be any positive integer, then x–m is equal to ______.
For a non-zero integer x, (x4)–3 is equal to ______.
55 × 5–5 = ______.
On multiplying ______ by 2–5 we get 25.
`(16 xx 10^2 xx 64)/(2^4 xx 4^2)`
If `(5^m xx 5^3 xx 5^-2)/5^-5 = 5^12`, find m.
Use the properties of exponents to verify that statement is true.
25(5n – 2) = 5n
In a repeater machine with 0 as an exponent, the base machine is applied 0 times. What do these machines do to a piece of chalk?
Mass of Mars is 6.42 × 1029 kg and mass of the Sun is 1.99 × 1030 kg. What is the total mass?
