what does it mean to raise a number to the power of 0? you can look at patterns with exponents to find out…

what does it mean to raise a number to the power of 0? you can look at patterns with exponents to find out. what is the value of $3^2$? $3^2 = \\square$ \\begin{tabular}{|c|c|} \\hline $3^n$ & value \\\\ \\hline $3^4$ & 81 \\\\ \\hline $3^3$ & 27 \\\\ \\hline $3^2$ &? \\\\ \\hline $3^1$ & \\\\ \\hline $3^0$ & \\\\ \\hline \\end{tabular}

what does it mean to raise a number to the power of 0? you can look at patterns with exponents to find out. what is the value of $3^2$? $3^2 = \\square$ \\begin{tabular}{|c|c|} \\hline $3^n$ & value \\\\ \\hline $3^4$ & 81 \\\\ \\hline $3^3$ & 27 \\\\ \\hline $3^2$ &? \\\\ \\hline $3^1$ & \\\\ \\hline $3^0$ & \\\\ \\hline \\end{tabular}

Answer

Explanation:

Step1: Recall exponent rule

For a non - zero number (a) and positive integers (m) and (n), (a^{m}\div a^{n}=a^{m - n}). Also, we can observe the pattern of powers of 3. We know that (3^{4}=81), (3^{3} = 27). Notice that (3^{4}\div3^{1}=3^{3}), and (81\div3 = 27). In general, to find (3^{n}) from (3^{n + 1}), we divide by 3.

Step2: Calculate (3^{2})

We know that (3^{3}=27). To find (3^{2}), we can use the rule (3^{3}\div3^{1}=3^{3 - 1}=3^{2}), or we can use the pattern. Since (3^{3}=27), and to get from (3^{3}) to (3^{2}), we divide by 3. So (27\div3 = 9). Also, by the definition of exponents, (3^{2}=3\times3=9).

Answer:

(9)