Answer:
1) [tex]\sqrt{x^7}=x^{\frac{7}{2}[/tex]
2) [tex]\sqrt[3]{y^5}=y^{\frac{5}{3}[/tex]
3) [tex]\sqrt[5]{a^{12}}=a^{\frac{12}{5} }[/tex]
4) [tex]\sqrt[4]{z^{9}}=z^\frac{9}{4}[/tex]
Step-by-step explanation:
1) [tex]\sqrt{x^7}[/tex]
We know that [tex]\sqrt{x}=x^{\frac{1}{2}[/tex]
So, [tex]\sqrt{x^7}=x^{\frac{7}{2}[/tex]
2) [tex]\sqrt[3]{y^5}[/tex]
We know that [tex]\sqrt[3]{x}=x^{\frac{1}{3}[/tex]
So, [tex]\sqrt[3]{y^5}=y^{\frac{5}{3}[/tex]
3) [tex]\sqrt[5]{a^{12}}[/tex]
We know that [tex]\sqrt[5]{x}=x^{\frac{1}{5}[/tex]
So, [tex]\sqrt[5]{a^{12}}=a^{\frac{12}{5} }[/tex]
4) [tex]\sqrt[4]{z^{9}}[/tex]
We know that [tex]\sqrt[4]{x}=x^{\frac{1}{4}[/tex]
So, [tex]\sqrt[4]{z^{9}}=z^\frac{9}{4}[/tex]
