Question

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simplify. express your answer using positive exponents.\\(\frac{9n^{8}}{3n^{0}}\\)

Explanation:

Step1: Simplify the coefficient

Divide the coefficient 9 by 3: $\frac{9}{3} = 3$.

Step2: Simplify the variable with exponent

Recall that any non - zero number to the power of 0 is 1, so $n^{0}=1$ (assuming $n
eq0$). Then, using the rule of exponents $\frac{a^{m}}{a^{n}}=a^{m - n}$, for the variable part $\frac{n^{8}}{n^{0}}=n^{8-0}=n^{8}$.

Step3: Combine the results

Multiply the simplified coefficient and the simplified variable part: $3\times n^{8}=3n^{8}$.

Answer:

$3n^{8}$