Advertisements
Advertisements
Question
Find:-
`9^(3/2)`
Sum
Advertisements
Solution
We can write the given expression as follows
⇒ `9^(3/2) = (3^2)^(3/2)`
On simplifying
⇒ `9^(3/2) = 3^(2 xx 3/2) ...["using" (a^p)^q = a^(pq)]`
⇒ `9^(3/2) = 3^3`
∴ `9^(3/2) = 27`
shaalaa.com
Is there an error in this question or solution?
Chapter 1: Number Systems - EXERCISE 1.5 [Page 23]
APPEARS IN
RELATED QUESTIONS
Solve the following equations for x:
`3^(2x+4)+1=2.3^(x+2)`
If 49392 = a4b2c3, find the values of a, b and c, where a, b and c are different positive primes.
If `1176=2^a3^b7^c,` find a, b and c.
Simplify:
`((25)^(3/2)xx(243)^(3/5))/((16)^(5/4)xx(8)^(4/3))`
If 102y = 25, then 10-y equals
If \[4x - 4 x^{- 1} = 24,\] then (2x)x equals
If o <y <x, which statement must be true?
If x= \[\frac{\sqrt{3} - \sqrt{2}}{\sqrt{3} + \sqrt{2}}\] and y = \[\frac{\sqrt{3} + \sqrt{2}}{\sqrt{3} - \sqrt{2}}\] , then x2 + y +y2 =
Simplify:-
`(1/3^3)^7`
Simplify:
`7^(1/2) . 8^(1/2)`
