1) \left( 0.24 \right)^5 \times \left( \frac{25}{6} \right)^{-5} \times \left( \frac{6}{25} \right)^4 = \left( 0.24^5 \right) \times \left( \left( \frac{25}{6} \right)^{-5} \right) \times \left( \left( \frac{6}{25} \right)^4 \right) = 0.0001984
2) 3.5 \times 10^{10} \times \left(0.25 \times 10^7 \right)^{-1} = 3.5 \times 10^{10} \times \left(2.5 \times 10^9 \right)^{-1} = 3.5 \times 10^{10} \times 4 \times 10^{-10} = 14
3) \frac{4^7 \times 6^4 \times 2^3}{16^5 \times 2^5 \times 5^{-2}} = \frac{16384 \times 1296 \times 8}{1048576 \times 32 \times 25} = \frac{16777216}{838860800} = \frac{1}{50}
4) \frac{y^4 \times y^5}{y^{15}} \times y = \frac{y^9}{y^{15}} \times y = y^{-6} \times y = y^{-5} = \frac{1}{y^5} = \frac{4}{5}
1) \left( 0.24 \right)^5 \times \left( \frac{25}{6} \right)^{-5} \times \left( \frac{6}{25} \right)^4 = \left( 0.24^5 \right) \times \left( \left( \frac{25}{6} \right)^{-5} \right) \times \left( \left( \frac{6}{25} \right)^4 \right) = 0.0001984
2) 3.5 \times 10^{10} \times \left(0.25 \times 10^7 \right)^{-1} = 3.5 \times 10^{10} \times \left(2.5 \times 10^9 \right)^{-1} = 3.5 \times 10^{10} \times 4 \times 10^{-10} = 14
3) \frac{4^7 \times 6^4 \times 2^3}{16^5 \times 2^5 \times 5^{-2}} = \frac{16384 \times 1296 \times 8}{1048576 \times 32 \times 25} = \frac{16777216}{838860800} = \frac{1}{50}
4) \frac{y^4 \times y^5}{y^{15}} \times y = \frac{y^9}{y^{15}} \times y = y^{-6} \times y = y^{-5} = \frac{1}{y^5} = \frac{4}{5}