Writing speed of light in scientific notation

Question

Assignment:

Q1. Simplify the following. (-3x²y^-3)³ (x^-3y²)

 

Q2. Simplify the following. 2x⁴  -  2x²  +  4x  -  x⁴  +  4x²  - 2x  +  5

 

Q3. Find the following product.   ( 3x  -  4 ) ( x²  - 2x  +  3 )

 

Q4. Find the following product.  ( 0.3x  +  0.2 ) ( 0.3x  -  0.2 )

 

Q5. The speed of light in vacuum is one hundred eighty six thousand miles per second.  Write the speed of light in scientific notation.

 

Q6. Perform the division. ( 3x³ + 4x² - 4x - 6 ) ÷ ( x - 1 )

Q7. The cost, y, of growing special oranges in dollar as a function of the number of oranges, n, is given by y  =  0.7n  +  20.34

 

Make a plot of the above equation.  What is the cost of growing 50 special oranges?

 

Q8. What is the slope, x-intercept, and y-intercept of the following line?

 

3x  +  4y  =  9

 

Q9. a)  What is the slope of the following line?  y  =  -7.921

 

b)  What is the slope of the following line?  x  =  9.124

 

Q10. Factor by grouping:   18a³- 24a²b + 15ab²- 20b³

 

Q11. Solve the following:  18x² + 9x - 2 = 0      

 

Q12. Multiply  ( x  + 2y )⁴.   

 

Q13. Simplify the following expression.  (1/2)³  +  (1/3)^-2  -  (1/4)^-2

Provide complete and step by step solution for the question and show calculations and use formulas.