Properties of Exponents - Adv.

Product, Quotient & Power Rules

100

(16n^5p^3)/(8np^3

2n^4

200

4c^5d^3*(10cd^8)/(2c^4)

8c^2d^11

300

(2c^2d^3)^2*(10cd^8)/(2c^4)

20cd^14

400

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

(2x^16)/y^4

500

[(4x^22y^12)/(2xy^2(x^2y)^3)]^3

x^14/4

Negative & Zero Exponents

100

24x^0

24

200

5^-3*5^-2

1/3125

300

(6x^0y^2)/(2y^-3)

3y^5

400

(12x^-4y^5)/(3x^5y^8

4/(x^9y^3)

500

(6x^4y^8)^-2/(24x^11y^3)^-1

(2x^3)/(3y^13)

Fractional & Roots

100

Write in radical form.

8^(1/3)

root(3)(8)

200

Write in exponential form.

root(4)(18^3)

18^(3/4)

300

Evaluate

(1/64)^(3/2)

+-(1/512)

400

Write in radical form.

(56n)^(7/2)

sqrt((56n)^7)

500

Order the values from least to greatest.

(-4)^(1/3), 16^(3/2), 32^(1/5), root(3)(-64)

root(3)(64), (-4)^(1/3), 32^(1/5), 16^(3/2)

Simplify Radicals

100

Simplify completely:

sqrt(32)

4sqrt2

200

Simplify completely:

sqrt192

8sqrt3

300

What is the value of x?

6sqrt2=sqrt(12x)

x=6

400

Simplify completely:

3sqrt486

21sqrt14

500

Simplify completely.

root(5)(64x^13)

2x^2root(5)(2x^3)

Scientific Notation (no calculator allowed)

100

Write 6,300,000 in scientific notation.

6.3 xx 10^6

200

Put your answer in scientific notation.

(6 xx 10^7)/(2 xx 10^3)

3 xx 10^4

300

(3 x 10^9)(6 x 10^9)

1.8 xx 10^19

400

How many times greater than 2 x 10^6 is 7 x 10^8? Answer in standard notation.

350 times greater

500

Put the numbers in order from least to greatest.

9.9 xx 10^-3, 2.3 xx 10^6, 8.4 xx 10^-3, 5.6 xx 10^5

8.4xx10^-3, 9.9xx10^-3, 5.6xx10^5, 2.3xx10^6