Question

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

Answer 1

ANSWER

Coefficient = 2.49

Exponent = -2

STEP-BY-STEP EXPLANATION:

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

$9.2\cdot10^{7\text{ }}\div3.7\cdot10^9^{}$

The expression can be re-arrange below as

$\frac{9.2\cdot10^7}{3.7\cdot10^9}$$\begin{gathered} \text{ According to the 2nd law of indicies, recall that, } \\ x^a\text{ }\div x^b=x^{a\text{ - b}} \end{gathered}$$\begin{gathered} =\frac{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