Question

$25^{2- log_{5} 75+ 7^{-log_{7} } 3$

Answer 1

25^(2-log₅75+7^(-log₇3)=25²·25^(log₅75⁻¹)·25^(7^log₇3⁻¹)=
=25²·5^(log₅75⁻²)·25^(3⁻¹)=25²·25¹/³·75⁻²=25²·∛25·1/75²=25²·∛25/(25²·3²)=
=∛25/9;