Question

Simplify the expression (8 - 2)^2 x (2+4^)3

Answer 1

Given the expression:

`(8-2)^2\cdot(2+4)^3`

first we solve what is inside the parenthesis:

`(8-2)^2\cdot(2+4)^3=(6)^2\cdot(6)^3`

Notice how we have the same number but with different exponents. We can use the following rule to simplify the expression:

`\begin{gathered} a^n\cdot a^m=a^(n+m) \\ \Rightarrow(6)^2\cdot(6)^3=(6)^(2+3)=(6)^5 \end{gathered}`

therefore, the simplifed expression is 6^5 = 7776