# Exponents Flashcards

-3² Equals

9

Product Rule

r s r + s

Y × Y = Y

Exp.

Y³ × Y⁵ =

Y⁸

Quotient Rule

r Y r - s ---------- = Y s Y

Exp.

6 A ----------- = 2 A

4

A

Power of Product

2 2 2

(x . y) = x . y

Exp.

2

(a.b) =

2 2

a . b

Power of Power

r s rs

( x ) = x

Exp.

2 5

( z )

10

z

Power of quotient

r r r ( x/y) = x / y

Exp.

3

(5/7) =

3 3

5 / 7

Negative exponent

-r r

x = 1/ x

Exp.

-6

b =

1/ b⁶

Zero exponent

0

X =1 , if x ≠ 0

Exp

0

7 =

1

Negative exponent with a quotient

- r r

( x / y ) = (y/x)

Exp.

-3

( 1/2) =

Or

-2

5 =

3

(2/1) or 2³

-2 -2 2

5 = (5/1) = (1/5)

Describe what this equals in Simple terms

-3

2

It equals 1÷2÷2÷2 = 0.125

Or

1/8 = 0.125

Law of exponent of 1

1 1 1

X = , 4 =, 79 =

X, 4, 79

Law of exponent of 0

0 0 0

X = , 25 = , 444 =

1, 1, 1

Law of Negative exponents in simple terms

-n

Give solución x

The negative interger is divided by 1

n 1/ x

It is x to the positive n power

(4²)³

4⁶

(x⁴ × y² × z³)⁴

x¹⁶× y⁸×z¹²

(2 x y³)²

2² x² y⁶ = 4 x² y⁶

(2x + 3)²

What method do we use to solve when there is a plus or minus sign inside the parentheses and raised to an exponent

Foil

(2x + 3) (2x + 3)

4x² + 12x + 9

(2x + 3)²

What method do we use to solve when there is a plus or minus sign inside the parentheses and raised to an exponent

Foil

2x + 3) (2x + 3

Y⁴ × Y⁵ =

Y⁹

( x³)⁴

x¹²