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:
47 x 47 x 47 x 47 x ... (for a total of 86 times) = 631561696215121967192878113156776719259676006996009880774104395085770538496213689074783691468493581570025964011304968721690048131367777492053729
Therefore, 47 to the power of 86 is 631561696215121967192878113156776719259676006996009880774104395085770538496213689074783691468493581570025964011304968721690048131367777492053729.