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)`
Advertisements
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]
APPEARS IN
RELATED QUESTIONS
Expand: `((-4)/7)^5`
Evaluate: (2−1 × 3−1) ÷ 6−2
Simplify using law of exponents.
25 ÷ 23
Simplify using law of exponents.
188 ÷ 184
Simplify and express the following in exponential form:
(52 × 58) ÷ 55
Find x such that 3x+2 = 3x + 216
For any two non-zero rational numbers x and y, x5 ÷ y5 is equal to ______.
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`
