Exponent Properties - Copy

Rule 1 - Multiplying

100

m^4 times m^2

m⁶

200

m^5 times m^-3

m²

300

2r^3s^6 times r^4s^8

2r⁷s¹⁴

400

x^6y^15 times x ^4y

x¹⁰y¹⁶

500

x^2y^9 times x^5y^-7z

x⁷y²z

Rule 2 - Dividing

100

x^5/x^3

x²

200

(x^10y^24)/(x^6y^7)

x^4y^17

300

(x^4)/(x^-5)

x^9

400

(x^-11)/(x^-12)

x^1 or x

500

(3^5x^10x^2)/(3^3x^5y^2)

(9x^7)/y^2

Rules 3 & 4 - Power to a Power

100

(x^2)^5

x¹⁰

200

(x²y²)³

x⁶y⁶

300

(3x³)²

9x⁶

400

(2x³r²)³

8x⁹r⁶

500

(-3r²s⁷t³)³

-27r⁶s²¹t⁹

Rules 5 & 6 - Zero and Negative Properties

100

What does x⁰ equal?

1

200

Write the following with a positive exponent.

a^-3

1/a^3

300

(3x²y¹⁰)⁰

1

400

(2x^-5y⁰)³

8/x^15

500

(x^-2y^-6)/(a^-5y^-4)

(a^5)/(x^2y^2)

Exponential Notation/Simplify using multiple rules

100

Write the following in expanded form and standard form.

2^6

2 times 2 times 2 times 2 times 2 times 2

and 64

200

Write the following in exponential notation and standard form.

-3 times -3 times -3 times -3

(-3)^4 and 81

300

Determine the sign of each product.

(-1)^9

(-1)^6

(1)^3

(-1)⁹ - Negative

(-1)⁶ - Positive

(1)³ - Positive

400

Write 125 in exponential notation using a base of 5 and 64 in exponential notation using a base of 2.

125: 5³

64: 2⁶

500

Simplify:

((2a^3b^4)^4)/(a^15a^2b^10)

(16b^6)/(a^5)