Q:

What is 40 to the Power of 56?

Accepted Solution

A:
Solution: 40 to the Power of 56 is equal to 5.192296858534828e+89 Methods Step-by-step: finding 40 to the power of 56 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 0 56 40^{56} 4 0 56 To simplify this, all that is needed is to multiply it out: 40 x 40 x 40 x 40 x ... (for a total of 56 times) = 5.192296858534828e+89 Therefore, 40 to the power of 56 is 5.192296858534828e+89. Related exponent problems: Here some other problems that you can read and practice with! What is 13 to the Power of 67? What is 14 to the Power of 77? What is 3 to the Power of 27? What is 57 to the Power of 12? What is 34 to the Power of 51?