Q:

What is 8 to the Power of 65?

Accepted Solution

A:
Solution: 8 to the Power of 65 is equal to 5.021681388309345e+58 Methods Step-by-step: finding 8 to the power of 65 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: 8 65 8^{65} 8 65 To simplify this, all that is needed is to multiply it out: 8 x 8 x 8 x 8 x ... (for a total of 65 times) = 5.021681388309345e+58 Therefore, 8 to the power of 65 is 5.021681388309345e+58. Related exponent problems: Here some other problems that you can read and practice with! What is 21 to the Power of 58? What is 9 to the Power of 3? What is 19 to the Power of 81? What is 28 to the Power of 83? What is 4 to the Power of 50?