Q:

What is 34 to the Power of 71?

Accepted Solution

A:
Solution: 34 to the Power of 71 is equal to 5.432542217436625e+108 Methods Step-by-step: finding 34 to the power of 71 The first step is to understand what it means when a number has an exponent. The β€œpower” 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 2 4 2^4 2 4 . To solve this, we need to multiply the base, 2 by itself, 4 times - 2 β‹… 2 β‹… 2 β‹… 2 2\cdot2\cdot2\cdot2 2 β‹… 2 β‹… 2 β‹… 2 = 16. So 2 4 = 16 2^4 = 16 2 4 = 16 . So re-applying these steps to our particular problem, we first convert our word problem to a base-exponent form of: 3 4 71 34^{71} 3 4 71 To simplify this, all that is needed is to multiply it out: 34 x 34 x 34 x 34 x ... (for a total of 71 times) = 5.432542217436625e+108 Therefore, 34 to the power of 71 is 5.432542217436625e+108. Related exponent problems: Here some other problems that you can read and practice with! What is 27 to the Power of 47? What is 13 to the Power of 87? What is 30 to the Power of 56? What is 5 to the Power of 19? What is 79 to the Power of 14?