Q:

What is 3 to the Power of 97?

Accepted Solution

A:
Solution: 3 to the Power of 97 is equal to 1.9088056323407826e+46 Methods Step-by-step: finding 3 to the power of 97 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 97 3^{97} 3 97 To simplify this, all that is needed is to multiply it out: 3 x 3 x 3 x 3 x ... (for a total of 97 times) = 1.9088056323407826e+46 Therefore, 3 to the power of 97 is 1.9088056323407826e+46. Related exponent problems: Here some other problems that you can read and practice with! What is 30 to the Power of 80? What is 16 to the Power of 50? What is 2 to the Power of 29? What is 24 to the Power of 15? What is 91 to the Power of 9?