Q:

What is 35 to the Power of 97?

Accepted Solution

A:
Solution: 35 to the Power of 97 is equal to 5.951141847926963e+149 Methods Step-by-step: finding 35 to the power of 97 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: 3 5 97 35^{97} 3 5 97 To simplify this, all that is needed is to multiply it out: 35 x 35 x 35 x 35 x ... (for a total of 97 times) = 5.951141847926963e+149 Therefore, 35 to the power of 97 is 5.951141847926963e+149. Related exponent problems: Here some other problems that you can read and practice with! What is 7 to the Power of 73? What is 19 to the Power of 30? What is 18 to the Power of 94? What is 2 to the Power of 14? What is 75 to the Power of 4?