Exponent & Scientific Notation Practice

Special Exponents

100

What is 5 raised to the zero power?  

5⁰

1 (ONE)

200

What is three raised to the negative second power?

3^-2

1/9 or 1/{3^2}

(One Ninth)

300

What is -3 RAISED to the third power?

- 3³

-3*3*3

= -27

400

What is 14 times (-6 RAISED to the zeroth power)?

14*(-6)^0

14*(-6)^0

=14*1

=14

500

What is 

b^{-2}*m^3 if b=6 and m=2?

8/36=2/9

Scientific Notation

100

Rewrite 2.6 x 10⁵ in standard form?

260,000

200

Rewrite 51,000,000 in Scientific Notation.

5.1 x 10⁶ 

300

Rewrite 0.00052 in Scientific notation.

5.2 x 10^-4

400

Rewrite 1.94 x 10⁴ in standard form.

194,000

500

Challenge: What is 1.4 x 10¹⁰ TIMES 4.0 x 10^-4 ?

5.6 x 10⁶

Product of Powers

100

x^3*x

x⁴

200

4^2*4^3

What is 4⁵

300

Simplify

k^{-2}g^10f^{-5}*k^{-3}g^{-6}f^4

g^4/{k^5f}

400

Simplify... 

p^3m^{-6}j^9*p^4m^2j^{9}

p^7/m^8

500

Simplify... 

N^{-9}*N^3*N^2

N^{-4} or 1/N^4

Power to a Power

100

What is 

(x^5)^2?

x¹⁰

200

What is 

(m^{-5})^{-3}?

m¹⁵

300

What is 

(b^{-3})^6?

b^{-18} or 1/b^18

400

simplify... 

(c^{-3}m^5)^4

c^-12m²⁰

500

What is 

(h^{-2}v^8w^1)^5?

h^-10v⁴⁰w⁵

Quotient of Powers

100

What is

c^15/c^9?

c⁶

200

What is 

m^6/m^10?

1/m^4

300

What is 

{m^8*N^3}/{m^6*N^5}?

m^2/N^2

400

What is 

{8*10^9}/{4*10^{-5}}

2 x 10¹⁴

500

Simplify without any negative exponents. 

{w^4y^7b^{-8}}/{y^{-2}b^3}

{w^4y^9}/b^11