Exponents and Scientific Notation Review OMS

Exponent Forms

Product Rule

Quotient Rule

Power Rule

Multiplying & Dividing Scientific Notation

Convert to Standard Notation

Convert to Scientific Notation

100

3 x 3 x 3 x 3 x 3 x 3

3⁶

100

Simplify with only positive exponents:

a^4*a^2

a^6

100

Simplify with only positive exponents:

a^12/a^4

a^8

100

Simplify with only positive exponents:

(x^9)^3

x^27

100

Simplify and write your answer in scientific notation:

(2xx10^-4)(4xx10^10)

8xx10^6

100

Convert to standard notation: 4.7 X 10⁴

47,000

100

Convert to scientific notation: 8,000,000

8 X 10⁶

200

n x n x n

n³

200

Simplify with only positive exponents:

x^8*x^-3

x^5

200

Simplify with only positive exponents:

x^5/x^12

1/x^7

200

Simplify with only positive exponents:

(cd^2)^4

c^4d^8

200

Simplify and write your answer in scientific notation:

(16xx10^5)/(8xx10^3)

2xx10^2

200

Convert to standard notation: 8.923 X 10²

892.3

200

Convert to scientific notation: 234,000

2.34 X 10⁵

300

n x n x m x m

n²m²

300

Simplify with only positive exponents:

5x^4*7x^3

35x^7

300

Simplify with only positive exponents:

(m^-2n^16)/(m^4n^2)

n^14/m^6

300

Simplify with only positive exponents:

(m^-2n^8)^3

n^24/m^6

300

Simplify and write your answer in scientific notation:

(6.4xx10^-4)-:(2.0xx10^-7)

3.2xx10^3

300

Convert to standard notation: 3.0 X 10^-3

0.003

300

Convert to scientific notation: 0.034

3.4 X 10^-2

400

(1/8) x (1/8) x (1/8) x (1/8) x (1/8)

(1/8)⁵or 8^-5

400

Simplify with only positive exponents:

(-9k^3)(2k^-8)

-18/k^5

400

Simplify with only positive exponents:

(28xy^-4)/(4x^-5y)

(7x^6)/y^5

400

Simplify with only positive exponents:

(4w^7)^3

64w^21

400

Simplify and write your answer in scientific notation:

(9xx10^4)(7xx10^-3)

6.3xx10^2

400

Convert to standard notation: 4.38 X 10^-5

0.0000438

400

Convert to scientific notation: 0.00094

9.4 X 10^-4

500

3 x 3 x n x n x n

9n³

500

Simplify with only positive exponents:

(-7c^-3d)(-4c^8d^-2)

(28c^5)/d

500

Simplify with only positive exponents:

(-21x^5y)/(12x^6y)

-7/(4x)

500

Simplify with only positive exponents:

(1/3r^2s^-5)^2

r^4/(9s^10)

500

Simplify and write your answer in scientific notation:

(3xx10^7)-:400,000

7.5xx10^1

500

Convert to standard notation: 3.425 X 10⁸

342,500,000

500

Is this written in correct scientific notation? If not, rewrite in scientific notation.

341.21 x 10⁴

3.4121 x 10⁶