Answer:
[tex]a = \sqrt[3]{\frac{3}{2}}[/tex]
Step-by-step explanation:
Given
[tex]\frac{180}{80}=\frac{80}{80}*a^6[/tex]
Required
Solve for a
[tex]\frac{180}{80}=\frac{80}{80}*a^6[/tex]
[tex]\frac{180}{80}=1*a^6[/tex]
[tex]\frac{180}{80}=a^6[/tex]
[tex]a^6 = \frac{180}{80}[/tex]
[tex]a^6 = \frac{18}{8}[/tex]
[tex]a^6 = \frac{9}{4}[/tex]
Take the square root of both sides
[tex]\sqrt{a^6} = \sqrt{\frac{9}{4}[/tex]
[tex]a^3 = \frac{3}{2}[/tex]
Take cube rooth of both sides
[tex]a = \sqrt[3]{\frac{3}{2}}[/tex]
