Answer:
1) [tex](\sqrt{25})^{2}[/tex]
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2)
- [tex]\sqrt{3}=3^{1/2}[/tex]
- [tex]\sqrt[4]{3} =3^{1/4}[/tex]
- [tex]\sqrt[3]{2} =2^{1/3}[/tex]
- [tex]\sqrt[5]{2} =2^{1/5}[/tex]
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3)
[tex](\frac{49}{64} )^{1/2}[/tex]
→ [tex][\frac{7^{2} }{8^{2} } ]^{1/2}[/tex]
→ [tex][\frac{7}{8} ]^{2\times 1/2}[/tex]
→ [tex]\frac{7}{8}[/tex]
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4)
[tex]\sqrt[3]{\frac{27}{125} }[/tex]
[tex]\frac{\sqrt[3]{27} }{\sqrt[3]{125} } =\frac{\sqrt[3]{3^{3} } }{\sqrt[3]{5^{5} } }[/tex]
[tex]=\frac{3}{5}[/tex]
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5)
[tex]32^{1/5}[/tex]
[tex]=(2^{5} )^{1/5}[/tex]
[tex]=2^{5\times1/5}[/tex]
[tex]=2[/tex]
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OAmalOHopeO
