Answer:
\(81^1,9^2\text{ and }3^4\).
Step-by-step explanation:
We have been given a number 81. We are asked to write 81 using exponent in three different ways.
First of all, we can write 81 raised to 1 exponent as:
\(81^1\).
We also know that 81 is square of 9, so we can write 81 as:
\(81=9\times 9 = 9^2\)
We know that 9 is square of three, so we can write 81 as:
\(81 = 9^2=(3^2)^2=3^{2\cdot 2}=3^4\)
Therefore, our required three different ways would be \(81^1,9^2\text{ and }3^4\).
