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

Question

asked Jan 8, 2023 235k views

1 Answer

Maxp · Answer 1 · 2023-01-14T15:57:16+0000

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