Q:

What is 32 to the Power of 6?

Accepted Solution

A:
Solution: 32 to the Power of 6 is equal to 1073741824 Methods Step-by-step: finding 32 to the power of 6 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 2 6 32^{6} 3 2 6 To simplify this, all that is needed is to multiply it out: 32 x 32 x 32 x 32 x 32 x 32 = 1073741824 Therefore, 32 to the power of 6 is 1073741824. Related exponent problems: Here some other problems that you can read and practice with! What is 24 to the Power of 93? What is 19 to the Power of 25? What is 23 to the Power of 64? What is 3 to the Power of 65? What is 13 to the Power of 45?