Question

what does it mean to raise a number to the power of 0? you can look at patterns with exponents to find out. how do the exponents change from one row of the table to the next? to get to the next row of the table, decrease the exponent by 1. how do the values change from one row of the table to the next? to get to the next row of the table, divide the value by 3. use the pattern you found in the table to find the value of 3^0. 3^0 =

Explanation:

Step1: Analyze the value - change pattern

We see that when going from $3^4 = 81$ to $3^3$, we divide 81 by 3 to get 27; from $3^3 = 27$ to $3^2$, we divide 27 by 3 to get 9; from $3^2 = 9$ to $3^1$, we divide 9 by 3 to get 3.

Step2: Apply the pattern to find $3^0$

Since we divide the value by 3 when decreasing the exponent by 1, when going from $3^1 = 3$ to $3^0$, we divide 3 by 3. So $3^0=\frac{3}{3}=1$.

Answer:

1