Math 9 Unit 2 – Powers and Exponent Laws Assignment 1 – Unit Assignment Name: _______________________ Part 1 – Selected Response: Instructions: Choose the best answer and write shade in the corresponding space on the answer sheet provided. Be sure to include your student ID. 1. When multiplying powers with like bases, what is the exponent law? (A) (B) (C) (D) 2. When dividing powers with like bases, what is the exponent law? (A) (B) (C) (D) 3. Keep the base and add the exponents. Keep the base and divide the exponents. Keep the base and multiply the exponents. Keep the base and subtract the exponents. When you have a power of a power, what is the exponent law? (A) (B) (C) (D) 4. Keep the base and add the exponents. Keep the base and divide the exponents. Keep the base and multiply the exponents. Keep the base and subtract the exponents. Keep the base and add the exponents. Keep the base and divide the exponents. Keep the base and multiply the exponents. Keep the base and subtract the exponents. Simplify. (A) (B) (C) (D) 5. Simplify. (A) (B) (C) (D) 6. What is the following as a single power? ( ) (A) (B) (C) (D) 7. Evaluate. (A) (B) (C) (D) 8. ( Evaluate. ) (A) (B) (C) (D) 9. What is 1000000 as a power of 10? (A) (B) (C) (D) 10. What number is (A) (B) (C) (D) 11. 90 100 000 000 1 000 000 000 10 000 000 000 What is (A) (B) (C) (D) ? ( ( as repeated multiplication? ) ) ( ( ) ) ( ( ) ) ( ( ) ) ( ( ) ) ( ) 12. What is ( (A) (B) (C) (D) 13. ) ( ) ( ) ( ) ( ) ( ) as a power? in standard form? 123 321 120300 300201 What step did does the first error occur in the solution below? (A) (B) (C) (D) 15. ( What is (A) (B) (C) (D) 14. ) Which power evaluates to the same value as (A) (B) (C) (D) ( Step 1 Step 2 Step 3 Step 4 ? ) Part 2 – Constructed Response: Instructions: Complete all of the following in the space provided. For full marks be sure to show all workings and present you answers in a clear and concise manner. 1. Given the power: ( ) Identify the base and the exponent of the power and then evaluate. 2. Simplify the following to a single power, then evaluate. (A) 3. ( 0.5 ) (1) (B) ( ) (1) (A) Write 43046 as using addition of powers of 10. (B) What is (C) (1) (2) in standard form? ( 1.5 ) 4. Evaluate the following. ( (A) ( ) (B) 5. Are and ( ) ( ) ) ( ( 1.5 ) ) the same, explain why or why not? ( 1.5 ) (2) __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ 6. A student provided the solution below to a given problem. Identify and explain the error(s) that the student in their solution. Problem: What is ( Solution: (2) ) as a single power? Step 1: ( ) Step 2: ( ) Step 3: ( ( ( ) ) ( ) ( ) ) __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ (B) What is the correct solution to the student’s problem? (1)
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