Show:
Product Rule
Quotient Rule
Power Rule
Mixed Problems
Zero Exponent & Mixed Problems
100

Use the product rule of exponents to multiply:

23 * 22

2^5 or 32

100

Use the quotient rule for exponents to divide:

7^4 / 7^2


7^2 or 49

100

Use the power rule to simplify:

(14^2)^3


14^6

100

Use the exponent rules to simplify:

(x^3)^2 * x^1


x^7

100

Use the zero exponent rule to simplify:

3-3

1/27

200

Use the product rule of exponents to multiply:

4x^3*5x^2

20x^5

200

Use the quotient rule for exponents to divide:

(15k^5)/( 3k^2)


5k^3

200

Use the power rule to simplify:

(8v^3)^3


8^3v^9 or 512v^9

200

Use the exponent rules to simplify:

(x^2 * x^2) / (x^2)


x^2

200

Simplify:

 (4x^2y^5)^5/(4x^7y^11) 

44x3y14 or 256x3y14


300

Use the product rule of exponents to multiply:

-12k^7 * 4k


-48k^8

300

Use the quotient rule for exponents to divide:

(-45x^2y^5)/(-5xy^3)

9xy^2

300

Use the power rule to simplify:

(3x^3y^4)^4


3^4x^12y^16 or 81x^12y^16

300

Use the exponent rules to simplify:

(xy^3 * xy)/(xy)

Use the exponent rules to simplify:

xy^3

300

Use the quotient rule and the zero exponent rule to simplify: 

 y^5/y^5 

y0 = 1

400

Use the product rule of exponents to multiply:

3x^4 * 2x^3 * 3x^2


18x^9

400

Use the quotient rule and the negative exponent rule to simplify:

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

(1xy^2)/(4)

400

Use the power rule to simplify:

(4x^2yz^3)^2


16x^4y^2z^6

400

Use the exponent rules to simplify:

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

x^10y^14

400

Simplify:

((-8xy)^2-x^2y^2)/(-9y^3)

(-7x^2)/y

500

Use the product rule of exponents to multiply:

17dq^3r^2 * 2d^3qr^3


34d^4q^4r^5

500

Use the quotient rule for exponents to divide:

(4x^10y^9)/(8x^4y^4)


(x^6y^5)/(2)

500

Use the power rule to simplify:

(3yx^2)^3


27y^4x^6

500

Use the exponent rules to simplify:

(b^2c^3 * bc^5)^3 / (6b^3c^10)


(b^6c^14)/(6)

500

22w0m-1


4/m