Advertisements
Advertisements
प्रश्न
If `1176=2^a3^b7^c,` find a, b and c.
Advertisements
उत्तर
First find out the prime factorisation of 1176.

It can be observed that 1176 can be written as `2^3xx3^1xx7^2.`
`1176=2^3 3^1 7^2 = 2^a3^b7^c`
Hence, a = 3, b = 1 and c = 2.
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
Find:-
`9^(3/2)`
Prove that:
`(x^a/x^b)^(a^2+ab+b^2)xx(x^b/x^c)^(b^2+bc+c^2)xx(x^c/x^a)^(c^2+ca+a^2)=1`
Prove that:
`(3^-3xx6^2xxsqrt98)/(5^2xxroot3(1/25)xx(15)^(-4/3)xx3^(1/3))=28sqrt2`
If ax = by = cz and b2 = ac, show that `y=(2zx)/(z+x)`
If `27^x=9/3^x,` find x.
Find the value of x in the following:
`2^(5x)div2x=root5(2^20)`
If (x − 1)3 = 8, What is the value of (x + 1)2 ?
When simplified \[( x^{- 1} + y^{- 1} )^{- 1}\] is equal to
When simplified \[\left( - \frac{1}{27} \right)^{- 2/3}\] is
(256)0.16 × (256)0.09
