15-3: TEKS Practice

  • 1. Simplify 84·82 to an equivalent exponential expression.

  • 2. Simplify the expression (4x 5)(5x 6).

  • 3. Simplify the expression.

    (−7y 3)(5y 2)

  • 4. Think About the Process

    • a. What do you do to find the power of a power?

      • A. Divide the exponents.

      • B. Subtract the exponents.

      • C. Add the exponents.

      • D. Multiply the exponents.

    • b. Simplify the expression (x 3)7.

  • 5. Simplify the expression (69)8.

  • 6. Simplify the expression (x 17)2.

  • 7. Use the properties of exponents to rewrite the expression (3·6)2.

  • 8. Simplify the expression (3x 6)2.

  • 9. Think About the Process

    • a. How do you multiply powers that have the same base?

      • A. Divide the exponents.

      • B. Subtract the exponents.

      • C. Multiply the exponents.

      • D. Add the exponents.

    • b. Simplify the expression x 7·x5·x4.

  • 10. 

    • a. Reasoning Simplify x 11·x9 and x 12·x8 to equivalent exponential expressions.

    • b. Does x 11·x9=x12·x8 for all values of x?

    • c. Give another way to justify your answer without doing any arithmetic.

  • 11. 

    • a. Multiple Representations Simplify the expression 34·35. Write your answer using exponential notation. Simplify your answer.

    • b. What are three other ways to write the product as the multiplication of two powers?

      • A. 35·36, 35·37, 32·34

      • B. 34·34, 34·36, 34·37

      • C. 35·35, 32·35, 33·35

      • D. 35·34, 33·36, 32·37

  • 12. Simplify the expression. Choose the correct answer below.

    (3fg)9

    • A. (3fg)9=19,683fg9

    • B. (3fg)9=59,049g10f10

    • C. (3fg)9=6,561g8f8

    • D. (3fg)9=19,683f9g9

  • 13. Error Analysis Your teacher asks the class to evaluate the expression (23)1. Your classmate gives an incorrect answer of 16.

    • a. Evaluate the expression.

    • b. What was the likely error?

      • A. Your classmate divided the exponents.

      • B. Your classmate multiplied the exponents.

      • C. Your classmate added the exponents.

      • D. Your classmate subtracted the exponents.

  • 14.  

    • a. Writing Use a property of exponents to write (3b)5 as a product of powers.

    • b. Describe the property of exponents that you used. In words, what does the power of a product equal?

  • 15. Flow Rate A company manufactures faucets. It uses the expression (4y 6)3 mm/s to calculate the maximum flow rate of water flowing out a spout with area y 6 mm2. Use a property of exponents to simplify the flow-rate expression. Write your answer using exponential notation. Simplify your answer.

  • 16.  

    • a. Simplify the expression [(−20)5]3.

    • b. Is the number positive or negative? Explain how you know.

  • 17.  

    • a. Simplify the expression 3(x8)3+3(x2)12.

    • b. Give the values of x for which the expression is positive. Explain how you know.

    • c. Give the values of x for which the expression is negative. Explain how you know.


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Table of Contents

Digits, Grade 8, Volume 2, Homework Helper Unit D: Two-Dimensional Shapes Unit E: Measurement and Data Unit F: Personal Financial Literacy Unit G: Step-Up Lessons English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties