(2¹³.9⁴)/(6³.8³)
= (2¹³.3⁸)/(2³.3³.2⁹)
= (2¹³.3⁸)/(2¹².3³)
= 2.3⁵
= 2.243
= 486
`#3107.101107`
\(\dfrac{2^{13}\cdot9^4}{6^3\cdot8^3}\\ =\dfrac{2^{13}\cdot\left(3^2\right)^4}{2^3\cdot3^3\cdot\left(2^3\right)^3}\\ =\dfrac{2^{13}\cdot3^8}{2^3\cdot3^3\cdot2^9}\\ =\dfrac{2^{13}\cdot3^8}{2^{12}\cdot3^3}\\ =2\cdot3^5\\ =486\)
\(\dfrac{2^{13}.9^4}{6^3.8^3}\)
\(=\dfrac{2^{13}.\left(3^2\right)^4}{\left(2.3\right)^3.\left(2^3\right)^3}\)
\(=\dfrac{2^{13}.3^8}{2^3.3^3.2^9}\)
\(=\dfrac{2^{13}.3^8}{2^{12}.3^3}\)
\(=2.3^5=2.243=486\)
