# exponent rules

Views:

Category: Education

## Presentation Description

No description available.

By: 19abhi84 (94 month(s) ago)

## Presentation Transcript

### Exponent Rules :

Exponent Rules Matina, Brooke, Anne

### Multiplying :

Multiplying If multiplying with same base Add exponents Condense expression Example: (x2) * (x6) = x8

### Multiplying cont :

Multiplying cont If exponent outside parenthesis Multiply exponents Example: (x3)4 = x12

### Distribution :

Distribution If there are two or more bases in the parenthesis with an exponent outside Distribute the exponent to both bases Example: (xy2)3 = x3y6

### Distribution cont :

Distribution cont If two bases in a fraction with an exponent outside the parenthesis Distribute exponent to both top and bottom Example:

### Canceling out :

Canceling out In a fraction with same base exponents on top and bottom You can cancel out (Dividing is like subtracting the exponents) Example: x2 /x = x

### Negative exponents :

Negative exponents If a base has a negative exponent Move the expression to the opposite side of the fraction Examples: OR

### Power of 0 :

Power of 0 Any exponent to the power of zero is 1 Examples : 40 = 1 50 = 1 89345879230=1

### Common Mistakes :

Common Mistakes Not distributing an exponent outside the parenthesis to both the variable AND coefficient Eg. (2x)5 = 32x 5 Thinking that an exponent outside the parenthesis is ADDED not MULTIPLIED Eg. (2x2) 5 = 32x10

### Summary problem 1 :

Summary problem 1 Write without negative exponents 5(x-3)-1 + 4(x+3) -2 =

### Summary Problem 2 :

Summary Problem 2 Simplify ((x2)6) -1 (x12)-1 1 x 12

### Summary Problem 3 :

Summary Problem 3 Simplify

### Summary problem 4 :

Summary problem 4 Solve for x (3x)3 =81 27x 3 = 81 x 3 = 3 x=31/3

### Summary Problem 5 :

Summary Problem 5 Solve for x 8(x-2) = 2 8/x2 = 2 8 = 2x2 4= x2 X=2 or -2