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Product Rule
Quotient Rule
Power Rule
Negative Exponents
Writing & Evaluating Expressions with Exponents
100

Simplify.

(x^8)(x^11)

x^19

100

Simplify.

y^12/y^5

Simplify.

y^7

100

Simplify.

(r^4)^3

r^12

100

Simplify. Write your answer using exponential form and only positive exponents.

n^-9

1/n^9

100

Write the expression using exponents.

(8)(x)(2)(2)(2)(x)(8)


8^2 2^3 x^2

200

Simplify. Write your final answer without exponents.

(2^4)(2^3)

2^7 = 128

200

Simplify. Write your final answer without exponents.

8^15/8^13


8^2=64

200

Simplify. Write your final answer without exponents.

(5^2)^3

5^6=15,625

200

Simplify. Write your final answer without exponents.

5^-3


1/125

200

Write the expression using exponents.

(a)(-4)(b)(a)(b)(-4)(-4)

(-4)^3a^2b^2

300

Simplify.

(3x)(4x^4)

12x^5

300

Simplify.

(12n^5)/(4n^2)

3n^3

300

Simplify.

(7y^4)^2

49y^8

300

Simplify. Write your final answer without exponents.

(-2)^-5

-1/32

300

Evaluate the following expression if x = 2 and y = -3.

x^3 + y^2

2^3 + (-3)^2

8 + 9 = 17

400

Simplify.

(6k^5)(-k^4)

-6k^9

400

Simplify.

(14m^3)/(-7m)

-2m^2

400

Simplify.

(4d^7e^5)^3

64d^21e^15

400

Simplify. Write your answer using exponential form and only positive exponents.

(a^-2b^3)(a^-5b)

b^4/a^7

400

Evaluate the following expression if g = -4 and h = 3.

g^2+5h^2


(-4)^2 + 5(3)^2

16 + 5(9)

16 + 45 = 61

500

Simplify.

(4x^3y^5)(5x^5y)

20x^8y^6

500

Simplify.

(20x^8y^6)/(2x^2y)

Simplify.

10x^6y^5

500

Simplify.

(5x^3y^4)^2

25x^6y^8

500

Simplify. Write your answer using exponential form and only positive exponents.

(x^5y^-2)(x^-2y^3)

y/x^3

500

Evaluate the following expression if m = 4 and n = -3.

4m^2+2n^2

4(4)^2+2(-3)^2

4(16)+2(9)

64+18=82