Rules of Exponents

Question 1

Calculate using the rules of powers.
The result must be expressed as a power!

7⁹ · 7¹² =

Answer 1

7²¹

Question 2

Calculate using the rules of powers.
The result must be expressed as a power!

13¹⁰ : 13⁷ =

Answer 2

13³

Question 3

Calculate using the rules of powers.
The result must be expressed as a power!

(17³)⁵ =

Answer 3

17¹⁵

Question 4

Calculate using the rules of powers.
The result must be expressed as a power!

24⁹ : 4⁹ =

Answer 4

6⁹

Question 5

Calculate using the rules of powers.
The result must be expressed as a power!

11⁵ · 2⁵ =

Answer 5

22⁵

Question 6

Write down the formula for the following property of powers:

“product of two powers with the same base”

Answer 6

b^m · bⁿ = b^m+n

Question 7

Write down the formula for the following property of powers:

“quotient of two powers with the same base”

Answer 7

b^m : bⁿ = b^m-n

Question 8

Write down the formula for the following property of powers:

“power of a power”

Answer 8

(a^m)ⁿ = a^m·n

Question 9

Write down the formula for the following property of powers:

“product of two powers with the same exponent”

Answer 9

a^m · b^m = (a·b)^m

Question 10

Write down the formula for the following property of powers:

“quotient of two powers with the same exponent”

Answer 10

a^m : b^m = (a:b)^m

Question 11

Calculate:

3⁰ =

0³ =

1³ =

3¹ =

0⁰=

Answer 11

3⁰ = 1

0³ = 0

1³ = 1

3¹ = 3

0⁰ = undefined