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:
49 x 49 x 49 x 49 x ... (for a total of 99 times) = 213506903904374636224875502281975788975901807146331299182655920082349505457638005138252706426721715312103372413317271717838024088646603901798994985047751357849744002449
Therefore, 49 to the power of 99 is 213506903904374636224875502281975788975901807146331299182655920082349505457638005138252706426721715312103372413317271717838024088646603901798994985047751357849744002449.