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Product, Quotient & Power Rules
Negative & Zero Exponents
Fractional & Roots
Simplifying Radicals
Challenge Grab Bag
100

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

3n^4

100

24x^0

24

100

Write in radical form.

8^(1/2)

sqrt8

100

Simplify completely:

sqrt(18)

3sqrt(2)

100

(9^4/9^2)^2

6561

200

(12x^3y^8)/(2x^2y^3*3xy^3)

2y^2

200

5^-2

1/25

200

Write in exponential form.

root(4)(18^3)

18^(3/4)

200

Simplify completely:

sqrt(32)

4sqrt(2)

200

(5x^3y^11)/(2x^4y^6)*(4x^6y)/(5y^5)*(1)/(6x^10)

y/(3x^5)

300

2x^4y^5*(2x^4y)^2

8x^12y^7

300

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

(y^6)/(x^11)

300

Evaluate

root(5)(32^3)

8

300

Simplify completely:

sqrt(216)

6sqrt(6)

300

Simplify completely:

sqrt(540x^5)

6x^2sqrt(15x)

400

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

20c^2d^11

400

8^2*8^-6

1/4096

400

Evaluate

(1/64)^(3/2)

+-1/512

400

What is the value of x?

6sqrt(2)=sqrt(9x)

x=8

400

root(3)(1296)

6root(3)(6)

500

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

(2x^16)/y^4

500

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

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

500

Write in radical form.

(56n)^(7/2)

sqrt((56n)^7)

500

Simplify completely:

sqrt192

8sqrt3

500

Simplify completely:

[(4x^6y^12)/(2xy^2(x^4y)^3)]^3

(8y^21)/x^21