Course Glossary

Quotient of Powers and Power of a Quotient

problem set iconUsing your knowledge of Quotient of Powers and Power of a Quotient, 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. student

1.  
e4h9/eh5
   
2.  
20b7c8/4b2c3
     
3.  
8k11m6/12k10m5
     
4.   left-parenthesis start fraction d squared e cubed over y superscript 4 end fraction right-parenthesis superscript 5
     
5.   left-parenthesis start fraction m superscript 6 t over 7 end fraction right-parenthesis squared
     
6.   left-parenthesis start fraction 2 v superscript 8 over 3 a cubed end fraction right-parenthesis cubed

 

For problems 7 and 8: Follow the directions given for each problem.

  1. Create an expression that requires you to apply the Quotient of Powers Rule to simplify. After simplifying your expression, the result should be: 2x4y6.

  2. Create an expression that requires you to apply the Power of a Quotient Rule to simplify. After simplifying your expression, the result should be:
    c12/d24
    .

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

  1. Light travels at a speed of approximately 1.86 x 105 miles per second. If the distance from the Sun to Jupiter is approximately 4.84 x 108, how long does it take sunlight to reach Jupiter? Show complete work. Give your answer in scientific notation.

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