Variables & Exponents

Scientific Notation & Standard Form

100

Express the following in Scientific Notation:

76,300

7.63 xx 10^4

200

Express the following in Standard Form:

6.43 xx 10^-5

0.0000643

300

Express the following in Scientific Notation:

0.00000024

2.4 xx 10^-7

400

Express the following in Standard Notation:

3.942 xx 10^8

394,200,000

500

Express the following in Scientific Notation:

0.0001000369

1.000369 xx 10^-4

Variables

100

Simplify:

(4u^5v^2)^2

16u^10v^4

200

Simplify:

x^2(x^11/x^5)

x^8

300

Simplify:

(3y^5)^2xx(5y^2)^3

1125y^16

400

Simplify:

(2x^2y^0)^4/x^5

16x^3

500

Simplify:

(24a^3)/((2a)(4b)) 

(3a^2)/b 

Negative Exponents

100

Express with positive exponents:

8p^-3

8/p^3

200

Express with positive exponents:

f^-7/(g^-2h^8)

g^2/(f^7h^8)

300

Simplify, give answer with positive exponents:

(x^7/y^9)^-4

y^36/x^28

400

Simplify, express with positive exponents:

6y^7xx2y^-5xx5y^3

60y^5

500

Simplify, express with positive exponents:

(21p^-4)/(14p^-3)

3/(2p)

More Variables

100

Simplify:

p^5xx(p^4)^3

p^17

200

Simplify:

(2y^2)^3

8y^6

300

Simplify:

[6p^5xx4p^7]/(8p^3)

3p^9

400

Simplify.

((x^20)/(x^14))((x^18)/(x^15))  

x^9

500

Simplify:

[(x^5)(x^4)(x^10)]/[(x^6)(x^8)]

x^5