Advertisements
Advertisements
Question
Simplify, giving Solution with positive index
`((5"x"^7)^3 . (10"x"^2)^2)/(2"x"^6)^7 = (5^3 "x"^(7xx3) . 10^2 . "x"^(2xx2))/(2^7. "x"^(6xx7))`
Advertisements
Solution
`((5"x"^7)^3 . (10"x"^2)^2)/(2"x"^6)^7 = (5^3 "x"^(7xx3) . 10^2 . "x"^(2xx2))/(2^7. "x"^(6xx7))`
`= 5^3 . 10^2 . 2^-7 "x"^(21+4-42)`
`= (5^3 xx 10^2)/(2^7 "x"^17) = (5 xx 5 xx 5 xx 2 xx 5 xx 2 xx 5)/(2 xx 2 xx 2 xx 2 xx 2 xx 2 xx 2. "x"^17)`
`= 5^5/(2^5 "x"^17) = 3125/(32"x"^17)`
APPEARS IN
RELATED QUESTIONS
Evaluate: 23 ÷ 28
Evaluate: 83 x 8-5 x 84
Evaluate: 44 ÷ 43 x 40
Simplify, giving Solution with positive index
x2a +7. x2a-8
Simplify, giving Solution with positive index
(102)3 (x8)12
Simplify, giving Solution with positive index
(a10)10 (16)10
Simplify, giving Solution with positive index
- (3ab)2 (-5a2bc4)2
Simplify, giving Solution with positive index
(-2)2 × (0)3 × (3)3
Simplify, giving Solution with positive index
`(1/("4ab"^2"c"))^2 div (3/(2"a"^2"bc"^2))^4`
Simplify and express the Solution in the positive exponent form:
`((-3)^3 xx 2^6)/(6 xx 2^3)`
