Review

Order of Operations

100

2 + 5 * 3

17

200

3+2(5+4)/3-7

2

300

8((26+10) - 4(3+2))

128

400

(34-12)/(11*2)

1

500

8 + 3 * 2³ / 6

12

Mixed Bag

100

7⁰

1

200

10^-2

1/10² or 1/100

300

(2a³)(3b²)(a⁴)

6a⁷b²

400

(6a^4b^5c^3)/(2a^2b^4c^3)

(3a^2b)/1

500

(14a^2)/(28a^2y)

(1)/(2y)

Power to a Power Rule

100

When raising a power to a power, __________ the exponents together and keep the __________ the same.  

Multiply, Base

200

(5³)⁴

5¹²

300

(4^-3)^-5

4¹⁵

400

(6^-5)³

6^-15 

1/(6^15)

500

(3⁵)² * (3³)⁴

3¹⁰ * 3¹² or 3²²

Product of Powers

100

When multiplying two numbers with the SAME BASE, you __________ the exponents together and keep the __________ the same.  

Add, base

200

4⁵*4*4²

4⁸

300

7^-2*7⁵

7³

400

c⁷*d²*c*d

c⁸*d³

500

3(d²)(2f⁵)(2d⁴)(3f)

36d⁶f⁶

Quotient of Powers

100

When dividing two numbers with the SAME BASE, you __________ the exponents together and keep the __________ the same.  

Subtract, base

200

3³ / 3²

3¹ or 3

300

(a^3b^7c^2)/(ab^8c^4)

(a^2)/(bc^2)

400

(7j^5k^9m^4)/(9jk^7m^5)

(7j^4k^2)/(9m)

500

(24b^2d^5)/(6a^2d^3)

(4b^2d^2)/(a^2)