The first step is to understand what it means when a number has an exponent. The “power” of a number indicates how many times the base would be multiplied by itself to reach the correct value.
The second step is to write the number in the base-exponent form, and lastly calculate what the final result would be. Consider the example of 2 to the power of 4: in exponent form that would be
So re-applying these steps to our particular problem, we first convert our word problem to a base-exponent form of:
To simplify this, all that is needed is to multiply it out:
17 x 17 x 17 x 17 x ... (for a total of 65 times) = 95319090450218007303742536355848761234066170796000792973413605849481890760893457
Therefore, 17 to the power of 65 is 95319090450218007303742536355848761234066170796000792973413605849481890760893457.
