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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 $square$.
$3^n$ value
$3^4$ 81
$3^3$ 27
$3^2$ 9
$3^1$ 3
$3^0$ ?
Step1: Analyze value pattern
Observe the sequence: $81, 27, 9, 3$
Step2: Find the divisor
Calculate $\frac{81}{27}=3$, $\frac{27}{9}=3$, $\frac{9}{3}=3$
Step3: Extend pattern for $3^0$
$\frac{3}{3}=1$
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To get to the next row of the table, divide the value by $\boldsymbol{3}$.
The value of $3^0$ is $\boldsymbol{1}$.