Question

Express the following number as directed: 81 in exponential form as a) base 9 b) base 3

Answer 1

hey mate here your answer base 3 is correct answer and There are infinitely many other combinations of (rational and) irrational bases and exponents that equal 81.

Answer 2

Answer :- a) 9^2 (b) 3^4

Explanation :

Given :

Express the following number as directed: 81 in exponential form as a) base 9 b) base 3

a) 81 in exponential form as base 9 :-

81 = 9^2

9 two times equal to 81

we know that 9 x 9 = 81.

So, As 9 is base, exponential form will be

9^2 = 81

_________________________________

b) 81 in exponential form as base 3 :-

81 = 3^4

3 four times equal to 81

We know that 3 x 3 x 3 x 3 = 81.

So, As 3 is base, exponential form will be

3^4 = 81.