Advertisements
Advertisements
Question
Find the value of n.
`(2^n xx 2^6)/2^-3 = 2^18`
Solution
Given, `(2^n xx 2^6)/2^-3 = 2^18`
Using law of exponents, `a^-m = 1/a^m` ...[∵ a is non-zero integer]
⇒ 2n × 26 × 23 = 218
⇒ 2n + 9 = 218 ...[∵ am × an = am + n]
On comparing both sides, we get
n + 9 = 18 ...[∵ am ÷ an = (a)m – n]
⇒ n = 9
APPEARS IN
RELATED QUESTIONS
a3 × a–10 = ______.
`[(2/13)^-6 ÷ (2/13)^3]^3 xx (2/13)^-9` = ______.
By multiplying `(5/3)^4` by ______ we get 54.
By what number should we multiply (–29)0 so that the product becomes (+29)0.
Planet A is at a distance of 9.35 × 106 km from Earth and planet B is 6.27 × 107 km from Earth. Which planet is nearer to Earth?
In a repeater machine with 0 as an exponent, the base machine is applied 0 times. What do you think the value of 60 is?
Find a single repeater machine that will do the same work as hook-up.
If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines.
The diameter of the Sun is 1.4 × 109 m and the diameter of the Earth is 1.2756 × 107 m. Compare their diameters by division.
Simplify:
`[(4/3)^-2 - (3/4)^2]^((-2))`
