what is the exponent of 729 of
729 = 27^2
Is that what you meant?
729 = 9 to the 3rd power
To find the exponent of 729, we need to determine the number that, when raised to a certain power, equals 729. We can obtain this by finding the base and exponent.
To find the base, we can take the cube root of 729 because raising a number to the power of 3 is the same as multiplying it by itself thrice. The cube root of 729 is 9 because 9 * 9 * 9 = 729.
Therefore, the base is 9.
To find the exponent, we use the formula a^b = c, where a is the base, b is the exponent, and c is the result. In this case, a = 9 and c = 729.
So, to find the exponent, we rearrange the formula to solve for b:
b = log(base a) of c
Therefore, b = log(base 9) of 729.
Taking the logarithm of 729 (base 9), we get:
b = log9(729) = 2
Hence, the exponent of 729 is 2.