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:
71 x 71 x 71 x 71 x ... (for a total of 75 times) = 6988374235928585149537872033781300464081539327162551188543316597333634250882244347791141895732893905771522080390309044429947978393852177751
Therefore, 71 to the power of 75 is 6988374235928585149537872033781300464081539327162551188543316597333634250882244347791141895732893905771522080390309044429947978393852177751.