7th Grade Math

(Marvins-Underground-K-12) #1
Lesson 1A Expressions 27

= Step-by-Step Solutions begin on page R1.
Extra Practice begins on page EP2.

Examples 1 and 2 Write each power as a product of the same factor.


  1. 15 12. 42 13. 77

  2. 86 15. 94 16. 104


Examples 3 and 4 Evaluate each expression.


  1. 26 18. 43 19. 112

  2. 46 21. 110 22. 54


2323 BIKING In a recent year, the number of 12- to 17-year-olds that went
off-road biking was 10^6. Write this number in standard form.


  1. TRAINS The Maglev train in China is the fastest passenger train in
    the world. Its average speed is 3^5 miles per hour. Write this speed
    in standard form.


Example 5 Write each product in exponential form.


  1. 3 · 3 26. 2 · 2 · 2 · 2 · 2 · 2

  2. 1 · 1 · 1 · 1 · 1 · 1 · 1 · 1 28. 8 · 8 · 8 · 8 · 8 · 8 · 8


Write each power as a product of the same factor.
B 29. four to the fifth power 30. nine squared

Evaluate each expression.


  1. six to the fourth power 32. 6 cubed


3333 GEOMETRY Refer to the puzzle cube at
the right.
a. Suppose the puzzle cube is made
entirely of unit cubes. Find the number
of unit cubes in the puzzle. Write using
exponents.
b. Why do you think the expression 3^3 is
sometimes read as 3 cubed?


  1. NUMBERS Write 5 · 5 · 5 · 5 · 4 · 4 · 4 in exponential form.

  2. COMPUTERS A gigabyte is a measure of computer data storage capacity.
    One gigabyte stores 2^30 bytes of data. Use a calculator to find the number
    in standard form that represents two gigabytes.


Order the following powers from least to greatest.


  1. 65 , 1^14 , 4^10 , 17^3 37. 28 , 15^2 , 6^3 , 3^5 38. 53 , 4^6 , 2^11 , 7^2


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