Question

Perform the following operationand express the answer inscientific notation.9.2x107 = 3.7x109[][ ? ]x10?)Coefficient (green)Exponent (yellow)Enter

Answer 1

Coefficient = 2.49

Exponent = -2

Explanation:

From the question provided, you are asked to simplified the below expression

`9.2\cdot10^{7\text{ }}/3.7\cdot10^9^{}`

The expression can be re-arrange below as

`(9.2\cdot10^7)/(3.7\cdot10^9)`
`\begin{gathered} \text{ According to the 2nd law of indicies, recall that, } \\ x^a\text{ }/ x^b=x^{a\text{ - b}} \end{gathered}`
`\begin{gathered} =(9.2)/(3.7)\cdot10^{7\text{ - 9}}^{} \\ =2.49\cdot10^(-2) \end{gathered}`

Therefore, the coefficient is 2.49 and the Exponent is -2