Answer:
[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Since we can see that [tex](5^{\frac{3}{4} } )^{\frac{2}{3} }[/tex] has a parentheses, the exponents are being multiplied by each other.. To find their product, just multiply across..
3*2 = 6/4*3 = 12. So we have 6/12 which can be simplified to just 1/2.
So now we have [tex]5^{\frac{1}{2} }[/tex] which is equal to [tex]\sqrt{5}[/tex]..