Answer:
a 1 over 25
Step-by-step explanation:
Problem Statement:
What is the value of [tex]\frac{5^{4} }{5 ^{6} }[/tex] ?
To solve this problem, we must familiarize ourselves with the concept of exponents and rules that guides them.
Exponents are used by scientists to report higher orders of a number.
Such large and often recurring expression is usually made up of a base and an exponent value.
The exponent value is the power of the base; for example, 4³ has 4 as its base and 3 as the exponent.
Several rules guides solving an exponent, to this problem, the most applicable one is :
[tex]\frac{x^{a} }{x^{b} }[/tex] = [tex]x^{(a-b)}[/tex]
[tex]\frac{5^{4} }{5 ^{6} }[/tex] = [tex]5^{4-6}[/tex]
= [tex]5^{-2}[/tex]
= [tex]\frac{1}{25}[/tex]
Therefore the solution is 1 over 25
