Exponents and Scientific Notation

Converting Exponent Forms

100

Convert to exponent notation: 

x*x*x*x*y*y*y

x^4y^3

200

Convert to expanded notation:

3x^4y^2

3*x*x*x*x*y*y

300

Convert to exponent notation: 

6xy*6xy*6xy*6xy

(6xy)^4

400

Convert to expanded notation: 

(4x^2y^7)^3

4x^2y^7*4x^2y^7*4x^2y^7

500

Convert to expanded notation: 

3x^2*(2xy^3)^2

(3*x*x)*(2*x*y*y*y)*(2*x*y*y*y)

Converting Scientific Notation

100

Convert to standard notation: 

7.42*10^6

7,420,000

200

Convert to scientific notation: 

.00000351

3.51*10^-6

300

Convert to standard notation:

8.24*10^-4

.000824

400

Convert to scientific notation: 

603,400,000

6.034*10^8

500

Convert to scientific notation: 

320.41*10^4

3.2041*10^6

Simplifying Basic Expressions

100

Simplify the expression: 

(5x^4y^-8)^0

1

200

Simplify the expression: 

(8x^8y^4)/(4y^3x^2)

2x^6y

300

Simplify the expression: 

x^4*x^7*x^-3

x^8

400

Simplify the expression: 

(3xy^3z^7)^2

9x^2y^6z^14

500

Simplify the expression: 

(-15x^3y^-4)/(3x^-5y^3)

(-5x^8)/(y^7)

Simplifying Challenging Expressions

100

Simplify the expression: 

(12x^-5)/(3x^-7y^-6

4x^2y^6

200

Simplify the expression:

(x^3*y^6)/(y^3*x)*(y^-2)/(x^-8)

x^10y

300

Simplify the expression: 

4(x^7y^-3)^-2

(4y^6)/x^14

400

Simplify the expression: 

2(4x^3*3x^4y^2)^2

288x^14y^4

500

Simplify the expression: 

3(4x^7y^-2*5x^8)^0

3

Using Scientific Notation

100

Write your answer in scientific notation: 

(3.2*10^7)*(1.3*10^2)

4.16*10^9

200

Write your answer in scientific notation

(6.4*10^14)/(2.0*10^8)

3.2*10^6

300

Write your answer in scientific notation: 

(4.62*10^8)*(3.6*10^9)

1.6632*10^18

400

Write your answer in scientific notation: 

(4.6848*10^14)/(6.4*10^5)

7.32*10^8

500

Write your answer in scientific notation: 

(4.252*10^12)-(2.1*10^10)

4.231*10^12