Q:

What is 3 to the Power of 9?

Accepted Solution

A:
Solution: 3 to the Power of 9 is equal to 19683 Methods Step-by-step: finding 3 to the power of 9 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: 3 9 3^{9} 3 9 To simplify this, all that is needed is to multiply it out: 3 x 3 x 3 x 3 x ... (for a total of 9 times) = 19683 Therefore, 3 to the power of 9 is 19683. Related exponent problems: Here some other problems that you can read and practice with! What is 7 to the Power of 39? What is 13 to the Power of 14? What is 80 to the Power of 9? What is 57 to the Power of 8? What is 96 to the Power of 22?