Simplify: 11.5784^3/7 A)3.857 B)4.857 C)2.857 D)2.587 E)4.785

Question

Quizplus · Accepted Answer

To simplify this expression, we need to perform the operations in order of the acronym PEMDAS: parentheses, exponents, multiplication, division, addition, and subtraction. 
Firstly, simplify the numerator: 11.5784S1U1P13 = (11.5784)(S1)(U1)(P13). 
Now, we can cancel out one S1 from numerator and denominator, as well as the P0 from denominator: 
(11.5784)(U1)(P13) / (7)(S1)(S1)(P0) 
= (11.5784)(U1)(P13) / (7)(S1)(P0) 
= (11.5784)(U1)(13) / (7)(1)(1) 
= (11.5784)(13) / (7) 
= 150.3192 / 7 
= 21.45988.

The closest answer choice to this value is C) 2.857.

Simplify: 11.57843/7

Simplify: 11.5784^3/7