Final answer:
To evaluate the given expression, we need to follow the order of operations and simplify the expressions within the parentheses. The value of the expression rounded off to two decimal places is 2.07.
Step-by-step explanation:
To solve the expression, we need to follow the order of operations, which is Parentheses, Exponents, Multiplication, and Division (from left to right), and Addition and Subtraction (from left to right).
First, let’s simplify the expressions inside the parentheses:
5+12⋅3=5+36=41
20−3⋅4=20−12=8
Substituting these values in the expression, we get:
2(5+12.3)^(2.4)/3(20-3.4)^(3.4) -9
= 2(41)^8/3(8)^12 -9
= 2.2824295364/3.687194767 -9
= 2.0736
Rounding off to two decimal places, we get 2.07
Therefore, the value of the expression rounded off to two decimal places is 2.07.