What is the value of 5 to the power of 4 over 5 to the power of 6?
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the equation:
5 to the power of 4 over 5 to the power of 6
Determine the value.
Solution:
The given numerical statement can be written as,
5^4/5^6
In order to solve the numerical statement, we can simply apply the rules of exponent which states that whenever we divide numbers with the same base but having a different exponents, we simply subtract the exponents of the numbers.
= 5^4/5^6
= 5^(4 - 6)
= 5^-2
= 1 / 5^2
= 0.04
Final answer:
= 5^-2 or 0.04