Question

5.(MC)

A rectangle has a length of 5/16 inches and a width of 25 inches. Find the area of the rectangle. (2 points)

Answer 1

2

Explanation:

The area of a triangle is equivalent to its length multiplied by its width.

In this example, one way we can look at this is to make everything in terms of two. First, we know that

`2^(4) = 16\\\sqrt[5]{2^(4)} = \sqrt[5]{16} \\2^(4 (1/5)) = \sqrt[5]{2^(4)}`

We can establish that last line because x^((y)^(z)) = x^(y*z), as is stated in exponent rules. Therefore, our area is

`2^(4/5) * 2^(1/5) = 2^(4/5 + 1/5) = 2^(5/5) = 2^(1) =2`