Answer:
[tex]t=\sqrt[11]{\frac{w}{3} }[/tex]
Step-by-step explanation:
Hello, I think I can help you with this
Let's remember a few properties of the form x^n
[tex]x^{n} \\x^{m} *x^{n} =x^{m+n}\\\sqrt[n]{x} =x^{\frac{1}{n }}\\(x^{m} )^{n} =x^{m*n}[/tex]
Step 1
Let
[tex]w=3t^{11}\\\frac{w}{3} =\frac{3t^{11} }{3} \\\frac{w}{3} =t^{11}[/tex]
divide each side by 3
Step 2
take each side and take the eleventh root
[tex]\frac{w}{3} =t^{11} \\\sqrt[11]{\frac{w}{3} }=\sqrt[11]{t^{11}}\\\sqrt[11]{\frac{w}{3} } =(t^{11}) ^{\frac{1}{11} }\\ \sqrt[11]{\frac{w}{3} }=t\\t=\sqrt[11]{\frac{w}{3} }[/tex]
Have a great day
