Simplify 2 to the fifth power over 3 squared all raised to the fourth power.
Social Studies · Middle School · Sun Jan 24 2021
Answered on
Given the numerical statement:
2 to the fifth power over 3 squared all raised to the fourth power.
Simplify.
Solution:
In order to simplify the given numerical statement, we simply must represent it first in an equation.
(2^4/3^2)^4
We can apply the rules of exponent in solving this problem, since it all values contain a degree. To start with, the rule of exponent states that whenever a number with a degree is raised to another degree enclosed with a parenthesis. Simply multiply the degrees.
=(2^4/3^2)^4
= (2^(4)(4)/3^2(2)(4))
=(2^16/3^8)
Now we can equate the values and divide.
= 65, 536/6,561
= 9.98
Final answer:
= 9.98