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Simplify. Express your answer using positive exponents.

(9p^(6))/(9p^(8)*p^(4))

Simplify. Express your answer using positive exponents.\newline9p69p8p4 \frac{9 p^{6}}{9 p^{8} \cdot p^{4}}

Full solution

Q. Simplify. Express your answer using positive exponents.\newline9p69p8p4 \frac{9 p^{6}}{9 p^{8} \cdot p^{4}}
  1. Write down the problem: First, let's write down the problem: 9p69p8p4\frac{9p^{6}}{9p^{8}p^{4}}.
  2. Cancel out the 99: Now, let's cancel out the 99 in the numerator and the 99 in the denominator: (p6)/(p8p4)(p^{6})/(p^{8}*p^{4}).
  3. Add exponents in denominator: Next, we add the exponents in the denominator because we're multiplying the same base: p(8+4)=p12p^{(8+4)} = p^{12}. So we have (p6)/(p12)(p^{6})/(p^{12}).
  4. Subtract exponents: Then, we subtract the exponents because we're dividing the same base: p(612)=p6p^{(6-12)} = p^{-6}. But we need positive exponents.
  5. Convert to positive exponents: So, p6p^{-6} is the same as 1/(p6)1/(p^{6}). That's our answer in positive exponents.

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