Question

What is the correct expanded form and value of 5o (13)41 1 1O 5+5+5+5+1 1 1 1 15'5'5'5625...1+1+1+15.44201545

Answer 1

In general,

`x^n=x\cdot x\cdot x\cdot\ldots\cdot x\to n\text{ times x}`

Therefore, in our case,

`\begin{gathered} ((1)/(5))^4=(1)/(5)\cdot(1)/(5)\cdot(1)/(5)\cdot(1)/(5)=(1)/(25)\cdot(1)/(25)=(1)/(625) \\ \Rightarrow((1)/(5))^4=(1)/(625) \end{gathered}`

Thus, the answer is the second option (top to bottom)