Advertisements
Advertisements
Question
Simplify, giving Solution with positive index
3y. 32. 3-4
Sum
Advertisements
Solution
3y. 32. 3-4
`= 3^y. 3^2/3^4 = 3^y = (3 xx 3)/(3 xx 3 xx 3 xx 3)`
`= 3^y xx 1/3^2 = 3^(y -2)`
shaalaa.com
Laws of Exponents (Through Observing Patterns to Arrive at Generalisation.)
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Evaluate: (30)6
Evaluate: 83 x 8-5 x 84
Evaluate: 54 × 53 ÷ 55
Simplify, giving Solution with positive index
(- 4x) (-5x2)
Simplify, giving Solution with positive index
4x2y2 ÷ 9x3y3
Simplify, giving Solution with positive index
(102)3 (x8)12
Simplify, giving Solution with positive index
`(1/("4ab"^2"c"))^2 div (3/(2"a"^2"bc"^2))^4`
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))`
Evaluate: `5^"n" xx 25^("n" - 1) div (5^("n" -1) xx 25^("n" - 1))`
If m2 = -2 and n = 2; find the values of: mn + nm
