If g = t 2/3 + 4t -1/2, what is the value of g when t = 64?A. \(\cfra

1.	If g = t 2/3 + 4t -1/2, what is the value of g when t = 64?A. \(\cfrac{31}{2}\)B. \(\cfrac{33}{2}\)C. 16D. \(\cfrac{257}{16}\)
Answer» g = t ^2/3 + 4t ^-1/2 = (64)^2/3+ 4 (64) ^-1/2 = [(64)^1/3] ³ + 4 \((\cfrac{1}{64})^\cfrac{1}{2}\) = 4² + 4 (\(\cfrac{1}8\) ) = 16 + \(\cfrac{1}2\) = \(\cfrac{33}2\)

If g = t 2/3 + 4t -1/2, what is the value of g when t = 64?A. \(\cfrac{31}{2}\)B. \(\cfrac{33}{2}\)C. 16D. \(\cfrac{257}{16}\)

Answer»

g = t ^2/3 + 4t ^-1/2

= (64)^2/3+ 4 (64) ^-1/2

= [(64)^1/3] ³ + 4 \((\cfrac{1}{64})^\cfrac{1}{2}\)

= 4² + 4 (\(\cfrac{1}8\) )

= 16 + \(\cfrac{1}2\) = \(\cfrac{33}2\)