Home
Class 12
MATHS
If * is the operation defined by a* b = ...

If * is the operation defined by a* b `= a^(b)` for a, `b in N`, then (2*3)*2 is equal to

A

81

B

512

C

216

D

64

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

For any two positive rational numbers m and n , a binary operation is defined by m+ n = (m+n)/(3) then (7)/(2) +(5)/(2) is equal to

Let * be a binary operation on N , the set of all natural numbers defined by a * b = a^b , a, b in N . Is (N,*) associative or commutative?

If the equation o+ is defined by a o+ b = a ^(2) + b ^(2) for all real numbers a and b, then (2 o+ 3) o+ 4 is equal to

Let A=N xx N and let * be a binary operation on A defined by (a, b) * (c, d) = (a c, b d) show that (i) ( A ,*) is associative (ii)( A ,*) is commutative

If ** is a binary operation defined by a**b=(a)/(b)+(b)/(a)+(1)/(ab) for positive integers a and b, then 2*5 is equal to

Let A={-1,0,1} Give reason why the operation defined by aastb=a/b is not a binary operation on A.

If a functions f: [2,oo) rarr B defined by f(x) = x^2 - 4x + 5 is a bijection, then B is equal to a)R b) [1,oo) c) [4,oo) d) [5,oo)

Let * be a binary operation on N,defined bya*b= a^b,a,binN .is * associative or commutative?

Let a = hati - 2 hatj + 3 hatk , If b is a vector such that a.b =|b| ^(2) and |a - b | = sqrt7, then |b| is equal to a) sqrt7 b) sqrt3 c)7 d)3

Let A=NtimesN and ast be a binary operation on A defined by (a,b)*(c,d) = (a + c,b + d) Find (1,2)*(2,3)