Adding and Subtracting Expressions
Multiplying Monomials
Dividing Monomials
Power Rule
HARD Problems
100

5u^2v + 6u^2v

11u^2v

100

Use the product rule for exponents to multiply:

5^3 * 5^5

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

200

Simplify:

(3x^2-4x+7)-(8x^2+6x-7)

-5x^2-10x+14

200

Use the product rule for exponents to multiply:

4x^3*5x^2

20x^5

200

Use the quotient rule for exponents to divide:

(8k^3)/( 4k^2)


2k

200

Use the power rule to simplify:

(8v^3)^2


64v^6

200

Use the exponent rules to simplify:

(3x^2 * 2x^2) / (2x^2)


3x^2

300

Simplify:

(4x^2-2x+3)+(15x-6)

4x^2+13x-3

300

Use the product rule for 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


27x^9y^12

300

Use the exponent rules to simplify:

(10xy^3 * 3xy)^2


900x^4y^8

400

(3x^2+8x-7)+(5x^2-9x-2)

8x^2-x-9

400

Use the product rule for exponents to multiply:

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


18x^9

400

Use the quotient rule for exponents to divide:

(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*(3xy^2)^2

9x^11y^16

500

Simplify:

(-4y^2+8y)-(7y^2-2y+5)

-11y^2+10y-5

500

Use the product rule for exponents to multiply:

7dq^3r^2 * 2d^3qr^3


14d^4q^4r^5

500

Use the quotient rule for exponents to divide:

(8x^10y^8)/(2x^7y^9)


(4x^3)/(y)

500

Use the power rule to simplify:

(5yx^2)^3


125y^3x^6

500

Use the exponent rules to simplify:

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


6b^3c^6