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Methodical recommendation:

Theory

Number Name Description
1. Powers and exponents Introduction to powers and exponents.
2. Law of exponents Laws involving powers and exponents
3. Rules for the exponent 1 and 0 Study the rules exponent 1 and 0.

Practice Questions

Number Name Type Difficulty Marks Description
1. Product of degrees with identical bases 1st type - receptive easy 3 m. Representation of an expression as a product of two degrees with the same bases
2. Squaring of negative power 1st type - receptive easy 4 m. Square the negative power using the law of exponents.
3. Square the decimal with negative power 1st type - receptive easy 4 m. Practice to square the decimal number with negative power using the law of exponents.
4. Negative decimal number with negative power 1st type - receptive easy 4 m. Practice to square the negative decimal number with negative power using the law of exponents
5. Power in fraction 1st type - receptive easy 4 m. Using the law of exponents find the value of given expression.
6. Simplify the following 1st type - receptive easy 4 m. Practise to simplify the negative power using the law of exponents.
7. Calculate the unknown value 1st type - receptive easy 5 m. Practise to simplify the negative power using the law of exponents.
8. Choose the simplified form 1st type - receptive easy 4 m. Practice to simplify the given expression using the exponential power law.
9. Select the reduced form 1st type - receptive easy 3 m. Applying the exponential law choose the simplified form from the given options.
10. Choose the negative and postive exponents 2nd type - interpretation medium 4 m. Read the equation and choose the right answer
11. Negative fraction and power 1st type - receptive medium 4 m. Using the law of exponents find the value of given expression.
12. Negative decimal fraction and power 1st type - receptive medium 4 m. Using the law of exponents find the value of given expression.
13. Simplify the given expression using power law 1st type - receptive medium 3 m. Practise to simplify the given expression by applying the exponential power law.
14. Find the unknown value 3rd type - analysis medium 5 m. Practise to simplify the given expression by applying the exponential product law.
15. Evaluate the given expression 1st type - receptive medium 4 m. Practise to simplify the given expression by applying the exponential laws.
16. Find out the required number 3rd type - analysis medium 4 m. Practise to find out the required number by applying the negative exponent rules.
17. Find the simplified form 1st type - receptive medium 4 m. Practise to simplify the given expression by applying the exponential power law.
18. Simplify the given expression 2nd type - interpretation medium 4 m. Practise to simplify the given expression by applying the exponential laws.
19. Determine the value of negative power 2nd type - interpretation hard 4 m. Practise to simplify the given expression by applying the exponential laws.
20. Calculate the required number 2nd type - interpretation hard 5 m. Practise to find out the required number by applying the negative exponent rules.
21. Determine the simplified form 2nd type - interpretation hard 4 m. Practise to simplify the given expression by applying the exponential power law.
22. Find out the value of negative power 2nd type - interpretation hard 5 m. Practise to simplify the given expression by applying the exponential laws.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
1. Choose the correct answer Other easy 2 m. Simplify the given expression by applying the exponential laws.
2. Choose the simplified expression Other easy 2 m. Simplify the given expression by applying the exponential laws.
3. Choose the correct answer Other easy 2 m. Using the law of exponents choose the correct answer from the given options.
4. Simplify the expression Other medium 4 m. Simplify the given expression by applying the exponential laws.
5. Choose the simplified form Other medium 4 m. Applying the exponential law choose the simplified form from teh given options.

Tests

Number Name Recomended time: Difficulty Marks Description
1. Training test 00:15:00 medium 13 m.
2. Training test 00:15:00 easy 11 m.
3. Training test 00:15:00 medium 12 m.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
1. Homework 00:15:00 medium 13 m.
2. Homework 00:15:00 medium 9 m.
3. Homework 00:15:00 medium 16 m.
4. Progress test 00:15:00 hard 13 m.
5. Progress test 00:15:00 hard 14 m.
6. Progress test 00:15:00 hard 12 m.