Question

What is the value of

Answer 1

Let's use the following properties:

`\begin{gathered} a^(-x)=(1)/(a^x) \\ x^y\cdot x^z=x^(y+z) \end{gathered}`

Rewrite the expression as:

`2^8\cdot2^(-5)\cdot5^9\cdot5^(-8)\cdot10^4\cdot10^(-7)=2^3\cdot5^1\cdot10^(-3)=(1)/(25)`