Advertisements
Advertisements
Question
Simplify:
`root5("x"^20"y"^-10"z"^5)÷"x"^3/"y"^3`
Sum
Solution
`root5("x"^20"y"^-10"z"^5)÷"x"^3/"y"^3`
`=("x"^20"y"^-10"z"^5)^(1/5)÷"x"^3/"y"^3`
`="x"^(20xx1/5)."y"^(-10xx1/5)."z"^(5xx1/5)÷"x"^3/"y"^3`
`="x"^4."y"^-2."z"^1xx"y"^3/"x"^3`
`="x"^(4-3)."y"^(-2+3)."z"^1`
`="x""y""z"`
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
If 1125 = 3m x 5n, find m and n
Simplify:
`("x"^("a"+"b"))^("a"-"b").("x"^("b"+"c"))^("b"-"c").("x"^("c"+"a"))^("c"-"a")`
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)`