Вычислите: (15^-5)^10:(15^6)^-8.

Question

\[\left( 15^{- 5} \right)^{10}\ \ :\left( 15^{6} \right)^{- 8} =\]

\[= 15^{- 50}\ :115^{- 48} = 15^{- 50 + 48} =\]

\[= 15^{- 2} = \frac{1}{15^{2}} = \frac{1}{225}.\]

Accepted Answer

\[\left( 15^{- 5} \right)^{10}\ \ :\left( 15^{6} \right)^{- 8} =\]

\[= 15^{- 50}\ :115^{- 48} = 15^{- 50 + 48} =\]

\[= 15^{- 2} = \frac{1}{15^{2}} = \frac{1}{225}.\]

Ответ: