Exponents

Product of Powers

100

Exponent Rule: When multiplying the same base number, what do you do with the exponents?

example: b² x b⁴ = ____

You add the exponents.

200

5¹ x 5³ =

5⁴

300

10¹¹ x 10¹²

10²³

400

253^-15 x 253²⁷=

253¹²

500

4³ x 2² =

68

Quotient of Powers

100

Exponent Rule: When dividing numbers with the same base, what do you do with the exponents?

Subtract the exponent.

200

3⁵ ÷ 3²

3³

300

17⁴ ÷  17 =

17³

400

9^-4 ÷  9⁶ =

9²

500

2¹⁰³ ÷  2⁶⁷

2³⁶

Power of Power

100

When an exponent is attached to a parenthesis, what do you do with each exponent?

Example: (4²)³

Multiply the exponents.

200

(5⁵)^{3 =} 

5¹⁵

300

(7^-2)^-4

7⁸

400

(100⁶)^-4

  1

______

100²⁴

500

(2x³y²)⁴

2x¹²y⁸

Negative and Zero Power

100

When a number is to the power of zero, what is the product?

Example: 56⁰

1

200

True or False: You can leave an exponent as a negative.

False.

300

How do you convert a negative exponent to a positive?

Use the inverse/make a fraction- 1/___

400

14⁰ ÷  14³ =

   1

_______ 

  14³

500

3² x 3^-2 =

1

Rewrite

100

Rewrite as an exponent: 

(x)(x)(x)(x)

x⁴

200

Rewrite as an exponent:

(2)(2)(x)(x)(x)

2²x³

300

Rewrite as an exponent:

(4)(4)(x)(x)(x)(y)(y)(y)(y)(y)

4²x³y⁵

400

Rewrite as an exponent:

(200)(x)(y)(y)(z)(z)(z)

200xy²z³

500

Rewrite as an exponent:

(79)(a)(a)(a)(b)(b)(c)(c)(c)(d)(e)(e)

79a²b²c³de²