Question

So I got a question wrong on my test and trying to figure out how to solve it.

Help?

Answer 1

A rectangle has a length of the fifth root of 16 inches and a width of 2 to the 1 over 5 power inches. Find the area of the rectangle.

2 to the 3 over 5 power inches squared

2 to the 4 over 5 power inches squared

2 inches squared

2 to the 2 over 5 power inches squared

Answer 2

I put the first one.

Answer 3

The correct answer is 2 in. squared.

Answer 4

Ok, but how did you find that out?

Answer 5

Write down what you know.
\[L = \sqrt[5]{16}\]\[W = 2^{\frac{ 1 }{ 5 }}\]

Figure out what you are asked to solve.
Area of a Rectangle
\[A_{rectangle} = Length \times width\]

Plug and Chug.

Answer 6

ok... so you have to rewrite 16 as a power of 2 so its



use the previous rule.. then you can multiply the same base and add the powers..