Question

C= \(\frac{9^9.8^2}{27^5.6^3}\)

Answer 1

(9^9.8^2)/(3^15.2^3.2^3)

(3^18.2^6)/(3^18.2^3)

2^3

Answer 2

\(C=\frac{9^9.8^2}{27^5.6^3}\)

   \(=\frac{\left(3^2\right)^9.2^6}{\left(3^3\right)^5.\left(2.3\right)^3}\)

   \(=\frac{3^{18}.2^6}{3^{15}.2^3.3^3}\)

    \(=\frac{3^{18}.2^3.2^3}{3^{18}.2^3}=2^3=8\)

Answer 3

\(C=\frac{9^9.8^2}{27^5.6^3}\)

\(C=\frac{\left(3^2\right)^9.\left(2^3\right)^2}{\left(3^3\right)^5.\left(2.3\right)^3}\)

\(C=\frac{3^{18}.2^6}{3^{15}.2^3.3^3}\)

\(C=\frac{3^{18}.2^6}{3^{18}.2^3}\)

\(C=\frac{2^6}{2^3}\)

\(C=2^3\)

\(C=8\)