Question

simplify. express your answer
\frac{p^{2} \cdot p^{0}}{p}

Explanation:

Step1: Simplify numerator using exponent rule

Recall the exponent rule \(a^m \cdot a^n = a^{m + n}\) and \(a^0 = 1\) (for \(a
eq0\)). For the numerator \(p^2 \cdot p^0\), we have \(p^2 \cdot p^0=p^{2 + 0}=p^2\) (since \(p^0 = 1\) and multiplying by 1 doesn't change the value, also using the product rule of exponents).

Step2: Simplify the fraction

Now we have the expression \(\frac{p^2}{p}\). Recall the exponent rule \(\frac{a^m}{a^n}=a^{m - n}\) (for \(a
eq0\)). Here, \(m = 2\) and \(n = 1\), so \(\frac{p^2}{p}=p^{2-1}=p^1 = p\).

Answer:

\(p\)