Using your knowledge of Product of Powers, Power of a Power, and Power of a Product, solve each problem shown below. Follow the instructions for each portion, answer all of the questions, and make sure to show all of your work.

This activity is available below or in a printable document.

For problems 1–6: Simplify each expression.

1. −5xy5 · 4x2y
   
   
2. (6h4)3
   
   
3. (9g10p8)2
   
   
4. 6d9c7 ·
   3/2
   dc4
   
   
5. (xhykbc)5
   
   
   
6. 7s2t4 · (2s3t)2

For problems 7 and 8:

1. Identify the property and explain the work needed to simplify the expression.
   
2. Give the result of simplifying the expression.

7. cd · ce
   
   
8. (cd)e

For problem 9: Use your knowledge of scientific notation and the Product of Powers Property to answer the question. Give your answer in scientific notation.

9. Light travels at a speed of approximately 1.86 x 105 miles per second. If it takes a beam of light 1.93 x 102 seconds to travel from the Sun to Mercury, what is the approximate distance between Mercury and the Sun?

Once you have completed this assignment, please submit your work to the dropbox.