Exponents and Powers. Mathematics State Board, Class 7: lessons, tests, tasks.

1.	Introduction to powers and exponents
2.	What is an exponent?
3.	Powers with positive and negative exponents
4.	Power1 or 0
5.	Grades of exponents
6.	Negative power
7.	Law of exponents
8.	Degrees of single prime numbers
9.	Division of degrees with identical bases

1.	One mark exercise problems I Difficulty: easy	3
2.	One mark exercise problems II Difficulty: easy	2
3.	One mark exercise problems III Difficulty: easy	4
4.	One mark exercise problems IV Difficulty: easy	5
5.	Two marks example problems I Difficulty: medium	6
6.	Two marks example problems II Difficulty: medium	8
7.	Two marks example problems III Difficulty: medium	6
8.	Two marks example problems IV Difficulty: medium	6
9.	Two marks example problems V Difficulty: medium	6
10.	Two marks example problems VI Difficulty: medium	6
11.	Two marks example problems VII Difficulty: medium	8
12.	Two marks exercise problems I Difficulty: medium	8
13.	Two marks exercise problems II Difficulty: medium	8
14.	Two marks exercise problems III Difficulty: medium	6
15.	Two marks exercise problems IV Difficulty: medium	6
16.	Two marks exercise problems V Difficulty: medium	6
17.	Two marks exercise problems VI Difficulty: medium	10
18.	Two marks exercise problems VII Difficulty: medium	10
19.	Two marks exercise problems VIII Difficulty: hard	8
20.	Two marks exercise problems IX Difficulty: hard	6
21.	Two marks exercise problems X Difficulty: hard	4
22.	Three marks exercise problems I Difficulty: hard	6
23.	Three marks exercise problems II Difficulty: hard	6
24.	Three marks exercise problem III Difficulty: hard	6

1.	Comparison of numerical inequalities Difficulty: easy	2
2.	Base and power Difficulty: easy	3
3.	Product of degrees Difficulty: easy	2
4.	Product in the form of a degree Difficulty: easy	3
5.	Base and exponent Difficulty: easy	3
6.	Squaring of decimals Difficulty: easy	2
7.	Product of degrees with identical bases Difficulty: easy	3
8.	The equation Difficulty: medium	5
9.	Power of a fraction Difficulty: medium	3
10.	Value comparison Difficulty: medium	3
11.	Raising a fraction in a degree (negative denominator) Difficulty: medium	5
12.	Decreasing (increasing) degrees Difficulty: medium	4
13.	Numerical value of fraction Difficulty: medium	6
14.	Properties of degrees with a natural exponent Difficulty: medium	5
15.	The product of three fractions with the same exponents Difficulty: hard	6
16.	Degree properties Difficulty: hard	6
17.	Common fraction Difficulty: hard	6
18.	To find the unknown exponent(product) Difficulty: hard	4

1.	Simplify using law of exponents Difficulty: medium	2
2.	Write in exponential form Difficulty: hard	3
3.	Find the value of x Difficulty: hard	3
4.	Determine the number of members Difficulty: hard	3

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Methodical recommendation

Exponents and Powers