Question

What is the value of 5 to the power of 4 over 5 to the power of 6?

Answer 1

`(5^4)/(5^6)=(5\cdot5\cdot5\cdot5)/(5\cdot5\cdot5\cdot5\cdot5\cdot5)\\\\=(\\ot5\cdot\\ot5\cdot\\ot5\cdot\\ot5)/(\\ot5\cdot\\ot5\cdot\\ot5\cdot\\ot5\cdot5\cdot5)=(1)/(5\cdot5)=(1)/(25)`


`Use:\ (a^n)/(a^m)=a^(n-m)\\\\a^(-n)=(1)/(a^n)\\\\(5^4)/(5^6)=5^(4-6)=5^(-2)=(1)/(5^2)=(1)/(25)`