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Product Rule
Quotient Rule
Power Rule
Mixed Problems
Zero Exponent & Negatives
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:

4x^3*5x^2

20x^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

Use the negative exponent rule to simplify:

4x-2

4/x2

300

Use the product rule of exponents to multiply:

-12k^7 * 4k


-48k^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

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: 

y5/y5

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


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

400

Use the exponent rules to simplify:

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

x^10y^14

400

Use the negative exponent rule to simplify:

3x-7y10z-4

3y10/x7z4

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:

(3x^10y^9)/(8x^4y^4)


(3x^6y^5)/(8)

500

Use the power rule to simplify:

(7yx^2)^4


7^4y^4x^8

500

Use the exponent rules to simplify:

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


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

500

Use all exponent rules to simplify:

(2w5m8)2/w10m15

22w0m1