Q:

What is 25 to the Power of 89?

Accepted Solution

A:
Solution: 25 to the Power of 89 is equal to 2.61012178719941e+124 Methods Step-by-step: finding 25 to the power of 89 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 2 4 2^4 2 4 . To solve this, we need to multiply the base, 2 by itself, 4 times - 2 ⋅ 2 ⋅ 2 ⋅ 2 2\cdot2\cdot2\cdot2 2 ⋅ 2 ⋅ 2 ⋅ 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: 2 5 89 25^{89} 2 5 89 To simplify this, all that is needed is to multiply it out: 25 x 25 x 25 x 25 x ... (for a total of 89 times) = 2.61012178719941e+124 Therefore, 25 to the power of 89 is 2.61012178719941e+124. Related exponent problems: Here some other problems that you can read and practice with! What is 4 to the Power of 58? What is 10 to the Power of 76? What is 7 to the Power of 11? What is 12 to the Power of 13? What is 23 to the Power of 36?