Find the quotient of 4.13 × 10^-8 and 0.04 × 10^5. in two or more complete sentences, explain each step in your calculations. include the quotient as part of your final answer.

0.0001652

Step-by-step explanation:

In the first expression, you move the decimal point to the right 8 times, due to the negative exponent, giving you 0.0000000413. The second expression requires you to move the decimal point to the left 5 times, because of the positve exponent, giving you 4000. You then divide these products, giving you the very small number of 1.0325e-11, or 0.000000000010325.

answer: c. is your answer

step-by-step explanation: get me a black leather coat

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: