Q:

# What is 20 to the Power of 13?

Accepted Solution

A:
Solution: 20 to the Power of 13 is equal to 81920000000000000 Methods Step-by-step: finding 20 to the power of 13 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: 2 0 13 20^{13} 2 0 13 To simplify this, all that is needed is to multiply it out: 20 x 20 x 20 x 20 x ... (for a total of 13 times) = 81920000000000000 Therefore, 20 to the power of 13 is 81920000000000000. Related exponent problems: Here some other problems that you can read and practice with! What is 9 to the Power of 85? What is 21 to the Power of 62? What is 10 to the Power of 22? What is 2 to the Power of 37? What is 8 to the Power of 100?