Question

Write the final answer in scientific notation

!SHOW WORK!​

Answer 1

`2.25 * 1 {0}^( - 2)`

Explanation:

`\frac{9 * 1 {0}^(5) }{4 * 1 {0}^(7) }`

First, we use the rule that

`\frac{ {x}^(y) }{ {x}^(z) } = \frac{ 1}{ {x}^(z - y) }`

Hence, we get:

`\frac{9}{4 * 1 {0}^(7 - 5) }`

`\frac{9}{4 * 1 {0}^(2) }`

`(9)/(4 * 100)`

`(9)/(400)`

which is 0.0225.

Hence, in scientific notation, it is

`2.25 * 1 {0}^( - 2)`