Q:

What is 64 to the Power of 3?

Accepted Solution

A:
Solution: 64 to the Power of 3 is equal to 262144 Methods Step-by-step: finding 64 to the power of 3 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: 6 4 3 64^{3} 6 4 3 To simplify this, all that is needed is to multiply it out: 64 x 64 x 64 = 262144 Therefore, 64 to the power of 3 is 262144. Related exponent problems: Here some other problems that you can read and practice with! What is 17 to the Power of 83? What is 1 to the Power of 21? What is 30 to the Power of 75? What is 13 to the Power of 91? What is 39 to the Power of 18?