The first step a math tutor would suggest 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:
34 x 34 x 34 x 34 x ... (for a total of 75 times) = 7259701736680389461922586102342375953169154793471353331212292628364815020298716796510484480857757863711617134362624
Therefore, 34 to the power of 75 is 7259701736680389461922586102342375953169154793471353331212292628364815020298716796510484480857757863711617134362624.