Exponents Review

Miscellaneous

100

5 x 5 x 5

5³ 

200

22⁴ x 22⁸

22¹²

300

0.2 x 0.2 x 0.2 x 0.2 x p x p x p

0.2⁴p³

400

Is -4⁴ the same as (-4)⁴?  Show why or why not with work!

No they are not the same.

-4⁴= -(4x4x4x4) = -256

(-4)⁴= (-4 x -4 x -4 x -4) = 256

500

18f⁵q² x 18³f²q⁹

18⁴f⁷q¹¹

Power of a Power

100

(2²)³

2⁶

200

((-7)³)⁵

(-7)¹⁵

300

((-5)¹³)²

(-5)²⁶

400

(1/2¹⁰)⁵

1/2⁵⁰

500

((y²)³)⁴

y²⁴

Power of Quotient

100

5⁹-5⁶=

5³

200

s⁸/s⁶=

s²

300

5⁷9²8⁵/5³9²8³=

5⁴9⁰8²

400

p³k⁶7¹⁸10¹³/ pk²7¹¹10⁴=

p²k⁴7⁷10⁹

500

x⁹2¹⁷r¹²t^-5/x²2¹⁴r⁰t³

x⁹2²r¹²/t⁸

Power of Product

100

(4 x 5)⁴

4⁴5⁴

200

(12h)³

12³h³

300

(4zw²)⁴

4⁴z⁴w⁸

400

(1.4⁴gm⁹)⁸

1.4³²g⁸m⁷²

500

 (3y²2w²)²

3²y⁴2²w⁴

Negative/Zero

100

4^-9

1/4⁹

200

w^-9y^-18

1/w⁹y¹⁸

300

g⁰f⁰=

1 x 1

400

232m^-10

232/m¹⁰

500

72⁴t^-6d^-73³

72⁴3³/t⁶d⁷