Home
Class 8
MATHS
( 3125^x xx 5^9)/ 625 = (125)^-1...

`( 3125^x xx 5^9)/ 625 = (125)^-1`

Text Solution

Verified by Experts

`(3125^x xx5^9)/625 = 125^-1`
`=>(3125^x xx5^9)/5^4 = 1/5^3`
`=>(3125^x xx5^8) = 1`
`=>((5^5)^x xx 5^8) = 5^0`
`=>5^(5x+8) = 5^0`
`5x+8 = 0=> x = -8/5`
Promotional Banner

Similar Questions

Explore conceptually related problems

Determine whether the sum of all the terms in the series is finite. In case it is finite find it. (3)/(5) , ( - 9)/( 25) ( 27)/(125), ( - 81)/(625) ....

Which is the greatest among (5)^23, (25)^(11), (625)^6, and (3125)^5 ?

The number of revolutions made by a wheel of diameter 56 cm in covering a distance of 1.1 km is: (a) 31.25 (b) 56.25 (c) 62.5 (d) 625

How many electrons are equal to 1 coulomb? (6.25 xx 10^16, 6.25 xx 10^17, 6.25 xx 10^18, 6.25 xx10^19)

5^(x)=3125

If (125)^(2//3) xx (625)^(-1//4) = 5^(x) , then the value of x is

If sqrt(5^n)=125 , then 5^(root(n)64 )= (a) 25 (b) 1/(125) (c) 625 (d) 1/5