Question

Select ALL of the expressions that are equivalent to

`16 (5)/(2)`
​

Answer 1

A, B, C

Explanation:

`a^(m)/(n)=\sqrt[n]{a^m}\\\\(a^n)^m=a^(nm)\\\\a^n\cdot a^m=a^(n+m)\\\\========================`

`16^(5)/(2)=\sqrt[2]{16^5}=√(16^5)\to\boxed{B}\\\\16=4^2\to16^(5)/(2)=\left(4^2\right)^(5)/(2)=4^{2\cdot(5)/(2)}=4^5\to\boxed{A}\\\\16^(5)/(2)=16^{2(1)/(2)}=16^{2+(1)/(2)}=16^2\cdot16^(1)/(2)=\left(16^2\right)\left(16^(1)/(2)\right)\to\boxed{C}`