select all the expressions that are equivalent to 16^5/2
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Answer:
A, C, E
Step-by-step explanation:
[tex] 16^{\frac{5}{2}} = 16^{\frac{1}{2} \times 5} = (\sqrt{16})^5 = \sqrt{16^5} = 1024 [/tex]
A. 4^5 = 1024 Yes
B. 8^5 No
C. 4^5 Yes
D. [tex] 16^{\frac{2}{5}} [/tex] No
E. [tex] 16^{2 + \frac{1}{2}} = 16^{\frac{5}{2}} [/tex] Yes
F. [tex] 16^{\frac{11}{2}} [/tex] No