Basic Exponents with Negatives
Exponent Rules
Basic Scientific Notation
Multiply and Divide Scientific Notation
Add and Subtract Scientific Notation
100

Evaluate the following. 

(-4)^3 

-64

100

Simplify the following expression. 

c^4/c^8

c^(4-8)=c^-4=1/(c*c*c*c)=1/c^4 

100

Convert to scientific notation. 

0.00000732

7.32 times 10^-6

100

Divide and write in scientific notation. 

(6.8 times 10^5)/(2 times10^4)

3.4 times 10^1 or 3.4 times10

100

Find the sum.

5.32 times 10^8+8.4 times 10^8

13.72 times 10^8=1.372 times 10^9

1.372 times 10^9

200

Evaluate the following. 

-5^3 

-5*-5*-5

-125

200

Simplify the following expression.

(2m^4)^3

2^(1*3)*m^(4*3)

8m^12


200

Convert to standard form.

9.002 times 10^3

9,002

200

Multiply and write in scientific notation. 

(3.2 times 10^-5)(2 times 10^-1)

(3.2 *2)(10^(-5)*10^-1)=6.4 times10^(-5+ -1)

6.4 times 10^-6

200

Find the difference.

3.49 times 10^7 - 1.4 times 10^7

2.09 times 10^7

300

Evaluate the following.

4^2 *2^3

4*4 * 2*2*2

128


300

Evaluate the following.

6^3*6^-2

6^(3+ -2)=6^1=6

300

Convert to standard notation. 

3.2 times 10^5

320,000

300

Multiply and write in scientific notation.


(3 times 10^2)(4.5 times 10^5)

(3*4.5)(10^2*10^5)=13.5 times 10^(2+5)

1.35 times 10^8

300

Find the sum.


2.8 times 10^4 +6 times 10^3

3.4 times 10^4

400

Evaluate the following.

7^(-2)

1/(7*7)=1/49

400

Evaluate the following.

(3t^-4)^-3

3^(1*-3)*t^(-4*-3)=3^-3t^12=(t^12)/3^3=t^12/27

400

Convert to scientific notation. 

0.063 times 10^-5

6.3 times 10^-7

400

Multiply and write in scientific notation.


(2.2 times 10^-5)(7.5 times 10^2)

(2.2*7.5)(10^-5*10^2)=16.5 times 10^(-5+2)

16.5 times  10^-3

1.65 times 10^-2


400

Find the difference.

8.4 times 10^-6 - 7 times 10^-7

7.7 times 10^-6

500

Evaluate the following.

(9^-2)/4^-2 

4^2/9^2=16/81

500

Simplify the expression.

m^5/m^-8 

m^(5--8) = m^(5+8)=m^13 

500

Convert to scientific notation. 

711 times 10^9

7.11 times 10^11

500

Divide and write in scientific notation.


(5.2 times 10^1)/(4 times 10^-5)

(5.2/4)(10^(1- -5))=1.3 times 10^6

500

Find the sum.


3 times 10^3 +4.2 times 10^5

4.23 times 10^5

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