Advertisements
Advertisements
Question
Simplify and express the following in exponential form:
`(4^5 xx "a"^8 xx "b"^3)/(4^3 xx "a"^5 xx "b"^2)`
Sum
Solution
`(4^5 xx "a"^8 xx "b"^3)/(4^3 xx "a"^5 xx "b"^2)`
= 45−3 × a8−5 × b3−2
= 42 × a3 × b1
= 4 × 4 × a3 × b
= 16a3b ...[Using quotient rule]
shaalaa.com
Is there an error in this question or solution?
Chapter 3: Algebra - Exercise 3.1 [Page 52]
APPEARS IN
RELATED QUESTIONS
Expand: `(3/5)^4`
Expand: `((-4)/7)^5`
Evaluate: (2−5 × 27) ÷ 2−2
Evaluate: `(4/5)^(-2) ÷ (4/5)^(-3)`
Simplify using law of exponents.
25 ÷ 23
Simplify and express the following in exponential form:
(52 × 58) ÷ 55
Find the value of `((-1)^6 xx (-1)^7 xx (-1)^8)/((-1)^3 xx (-1)^5)`
xm ÷ ym = (x ÷ y)m, where x and y are non-zero rational numbers and m is a positive integer.
If `p/q = (3/2)^2 ÷ (9/4)^0`, find the value of `(p/q)^3`.
Find the reciprocal of the rational number `(1/2)^2 ÷ (2/3)^3`
