Q:

What is 36 to the Power of 67?

Accepted Solution

A:
Solution: 36 to the Power of 67 is equal to 1.8718349476513424e+104 Methods Step-by-step: finding 36 to the power of 67 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 6 67 36^{67} 3 6 67 To simplify this, all that is needed is to multiply it out: 36 x 36 x 36 x 36 x ... (for a total of 67 times) = 1.8718349476513424e+104 Therefore, 36 to the power of 67 is 1.8718349476513424e+104. Related exponent problems: Here some other problems that you can read and practice with! What is 3 to the Power of 63? What is 12 to the Power of 31? What is 13 to the Power of 67? What is 25 to the Power of 45? What is 14 to the Power of 40?