1.
[tex] {2}^{x} . {2}^{x} = 2 \\ \: \: \: {2}^{x + x} = {2}^{1} \\ \: \: \: \: \: \: {2}^{2x} = {2}^{1} \\ \\ 2x = 1 \\ \: \: \: \: x = \frac{1}{2} [/tex]
2.
[tex] {3}^{y} . {3}^{y} = 3 \\ \: \: \: {3}^{y + y} = {3}^{1} \\ \: \: \: \: \: {3}^{2y} = {3}^{1} \\ \\ 2y = 1 \\ \: \: \: y = \frac{1}{2} [/tex]
3.
[tex] {2}^{ \frac{1}{2} } . {2}^{ \frac{1}{2} } = {2}^{ \frac{1}{2} + \frac{1}{2} } = 2[/tex]
4.
[tex] {3}^{ \frac{1}{3} } . {3}^{ \frac{1}{3} } . {3}^{ \frac{1}{3} } = {3}^{ \frac{1}{3} + \frac{1}{3} + \frac{1}{3} } = 3[/tex]
5.
[tex] \sqrt{2} . \sqrt{2} = \sqrt{2 \times 2} = \sqrt{4} = 2 [/tex]
6.
[tex]\sqrt{3} . \sqrt{3} . \sqrt{3} = \sqrt{3 \times 3 \times 3} = \sqrt{9 \times 3} = 3 \sqrt{3} \\ [/tex]
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