Exemplary Question Types
1.
In this question, firstly determine the sign of the expression.
\(\samefrac{(-2)^7\cdot(-2^4)\cdot(-2^{-2})}{-2^6\cdot(-2)^{-2}}=?\)
2.
\(\samefrac{360000\cdot10^{-12}}{0{,}0012\cdot10^{-4}}=?\)
3.
\((x-4)^2+(3x-y-1)^4=0\)
\(\Rightarrow x\cdot y=?\)
4.
\(x,y\in \mathbb{Z}\)
\(7^{x-2}=5^{y+5}\)
\(\Rightarrow x\cdot y=?\)
5.
\(\samefrac{11}{1+17^3}+\samefrac{11}{1+17^{-3}}=?\)
6.
\(9^a=5\)
\(25^b=2\)
\(8^c=3\)
\(\Rightarrow a\cdot b\cdot c=?\)
7.
\(3^x=5^y\)
\(9^{\samefrac{x}{y}}-25^{\samefrac{y}{x}}=?\)
8.
\(\samefrac{a}{b}=\samefrac{2}{3}\)
\(a^b=b^a\)
\(\Rightarrow b-a=?\)