Laws of Exponent

Question 1

x raised to 4 multiplied by x raised 9 is equal what?

Answer 1

x raised to 13

Question 2

x raised to 11 over x raised to 4 is equal to?

Answer 2

x raised to 7

Question 3

X raised to -1 over x raised to -5 is equal to?

Answer 3

x raised to 4

Question 4

(xy) raised to 3 is equal to?

Hint:
Distributive property of Multiplication

Answer 4

x raised to 3 and y raised to 3

Question 5

(a^8b^2c^3)^6 is equal to?

Answer 5

a^48b^12c^18

Question 6

What are the seven rules of exponent?

Hint:
Use B as the constant variable
And M and N as the Exponent variable

1. Multiplication
2. Division with condition A
3. Division with condition B
4. Division with condition C
5. Distribution with one variable
6. Distribution with 2 or more variable
7. Distribution to fractions

Answer 6

1. MUTIPLICATION
   b^m • b^n = b^m+n
2. DIVISION CONDITION A
   If m > n and b is not equal to zero
   b^m / b^n = b^m-n
3. DIVISION CONDITION B
   If m < n and b is not equal to zero
   b^m / b^n = 1/b^n-m
4. DIVISION CONDITION C
   If m and n are equal
   b^m / b^n = 2
5. DISTRIBUTION WITH ONE VAR.
   (b^m)^n = b^m•n
6. DISTRIBUTION WITH 2 OR MORE VAR.
   (ab)^m = a^m b^m
7. DISTRIBUTION TO FRACTIONS
   (a/b)m = a^m/b^m