Question

3⁷ . 27⁵ . 81³ = ?

Answer 1

\(3^7\cdot27^5\cdot81^3\)

\(=3^7\cdot\left(3^3\right)^5\cdot\left(3^4\right)^3\)

\(=3^7\cdot3^{15}\cdot3^{12}\)

\(=3^{7+15+12}\)

\(=3^{34}\)

Answer 2

\(3^7:27^5:81^3=3^7:\left(3^3\right)^5:\left(3^4\right)^3=3^7:3^{15}:3^{12}\\ =\dfrac{3^7}{3^{15}.3^{12}}=\dfrac{3^7}{3^{15}.3^5.3^7}=\dfrac{1}{3^{15}.3^5}=\dfrac{1}{3^{20}}\)