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

Use the product rule of exponents to multiply:

53 * 55

5^8

100

Use the quotient rule for exponents to divide:

7^4 / 7^3


7

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:

30*33

33

200

Use the product rule of exponents to multiply:

x^3*x^2

x^5

200

Use the quotient rule for exponents to divide:

(k^5)/( k^2)


k^3

200

Use the power rule to simplify:

(8v^3)^4


8^4v^12

200

Use the exponent rules to simplify:

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


x^2

200

Simplify:

(4x^7y^11)/(4x^2y^5)

1x^5y^6

300

Use the product rule of exponents to multiply:

k^7 * k


k^8

300

Use the quotient rule for exponents to divide:

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

xy^2

300

Use the power rule to simplify:

(3x^3y^4)^3


3^3x^9y^12 = 27x^9y^12

300

Use the exponent rules to simplify:

y^3*y^8/y

Use the exponent rules to simplify:

y^10

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:

9^4 * 9^3 * 9^2


9^9

400

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

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

(2xy^2)

400

Use the power rule to simplify:

(4x^2yz^3)^2


4^2x^4y^2z^6

400

Use the exponent rules to simplify:

(x^3y^4)^3

x^9y^12

400

Simplify:

(-100000)^0 / (10000)^0

1

500

Use the product rule of exponents to multiply:

q^3 r^2 * q^4 r^3

q^7 r^5

500

Use the quotient rule for exponents to divide:

(12x^10y^9)/(4x^4y^4)


(3x^6y^5)

500

Use the power rule to simplify:

(7yx^2)^4


7^4y^4x^8

500

Use the exponent rules to simplify:

(8x^10z^7)/(4x^5z^4)


2x^5z^3

500

Use all exponent rules to simplify:

x ^8 / x^0 

8