Answer:
Option 2 and Option 4 and Option 5
Step-by-step explanation:
or this exercise it is importnatn to to remember the properties that are shown below:
1) [tex]a^{\frac{1}{n } } =\sqrt[n]{a}[/tex]
2) [tex](a^{m})^{n}= a(^{mn)[/tex]
Therefore, given the following expression provided in the exercise:
[tex]\sqrt[3]{4^{5} }[/tex]
You can apply the properties mentioned before, in order to find an equivalent expression.
[tex]\sqrt[3]{4^{5} } =(4^5)\frac{1}{3} }= 4\frac{5+1}{3} =4^{\frac{5}{3} }[/tex]
Therefore, you get:
Option 2
Addition of exponent if base is same
[tex]4^{} \frac{8}{3} *4^{} \frac{7}{3}=4^{} \frac{8}{3} +^{} \frac{7}{3}=4^{5}[/tex]
