\(\frac{9^5.2^{15}}{6^8.8^3}\)
\(=\frac{\left(3^2\right)^5.2^{15}}{\left(2.3\right)^8.\left(2^3\right)^3}\)
\(=\frac{3^{2.5}.2^{15}}{2^8.3^8.2^{3.3}}\)
\(=\frac{3^{10}.2^{15}}{2^8.2^9.3^8}\)
\(=\)\(\frac{3^{10}.2^{15}}{2^{17}.3^8}\)
\(=\frac{2^2}{3^2}=\frac{4}{9}\)
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\(\frac{9^5 × 2^15}{6^8 × 8^3} \)= \(\frac {9^5 × 2^15}{6^8 × 2^9}\)
= \(\frac{3^10 × 2^15}{3^8 × 2^8 × 2^9}\)
= \(\frac{3 × 2^15}{2^17}\)
= \(\frac{3}{2^2} = \frac{3}{4}\)
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