Q:

What is 49 to the Power of 11?

Accepted Solution

A:
Solution: 49 to the Power of 11 is equal to 3909821048582988000 Methods Step-by-step: finding 49 to the power of 11 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: 4 9 11 49^{11} 4 9 11 To simplify this, all that is needed is to multiply it out: 49 x 49 x 49 x 49 x ... (for a total of 11 times) = 3909821048582988000 Therefore, 49 to the power of 11 is 3909821048582988000. Related exponent problems: Here some other problems that you can read and practice with! What is 15 to the Power of 55? What is 8 to the Power of 97? What is 24 to the Power of 79? What is 12 to the Power of 80? What is 22 to the Power of 11?