Advertisements
Advertisements
Question
If 1125 = 3m x 5n, find m and n
Sum
Solution
1125 = 32 x 53
The factor of 1125 are 3 x 3 x 5 x 5 x 5
| 3 | 1125 |
| 3 | 375 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
`therefore` 1125 = 3 x 3 x 5 x 5 x 5
Now comparing, 32 x 53 = 3m x 5n
`therefore` m = 2, n = 3
shaalaa.com
Law of Exponents (For Integral Powers)
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Find x, if 9 x 3x = (27) 2x-3
Simplify:
`("x"^("a"+"b"))^("a"-"b").("x"^("b"+"c"))^("b"-"c").("x"^("c"+"a"))^("c"-"a")`
Simplify:
`root5("x"^20"y"^-10"z"^5)÷"x"^3/"y"^3`
Simplify:
`[(256"a"^16)/(81"b"^4)]^(-3/4)`
Simplify and express as positive indice:
`("x"^"n""y"^-"m")^4xx("x"^3"y"^-2)^-"n"`
Simplify and express as positive indice;
`[(125"a"^-3)/"y"^6]^(-1/3)`
Simplify and express as positive indice:
`[(32"x"^-5)/(243"y"^-5)]^(-1/5)`
