Advertisements
Advertisements
Question
Simplify and express the Solution in the positive exponent form:
`(36 xx (-6)^2 xx 3^6)/(12^3 xx 3^5)`
Advertisements
Solution
`(36 xx (-6)^2 xx 3^6)/(12^3 xx 3^5)`
`= (6 xx 6 xx (-6)^2 xx 3^6)/(3^3 xx 4^3 xx 3^5)`
`= ((6)^2 (-6)^2 xx 3^(6-3-5))/4^3`
`= ((6)^2 (-6)^2 3^-2)/4^3`
`= (6^2 (-6)^2)/(3^2 xx 4^3)`
`= (6 xx 6 xx -6 xx -6)/(3 xx 3 xx 4 xx 4 xx 4)`
`= 9/4 = (3/2)^2`
APPEARS IN
RELATED QUESTIONS
Evaluate: (30)6
Evaluate: 54 × 53 ÷ 55
Evaluate: (35 x 47 x 58)0
Simplify, giving Solution with positive index
(-3)2 (3)3
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 a Solution with a positive index.
`(1/"2x")^3 xx (6"x")^2`
Simplify and express the Solution in the positive exponent form:
`("a"^-7 xx "b"^-7 xx "c"^5 xx "d"^4)/("a"^3 xx "b"^-5 xx "c"^-3 xx "d"^8)`
