Free Printable Exponent Rules & Factoring

1.

a³b(ab)²=

a)

a⁵b³

b)

a⁶b⁴

c)

a²b²

d)

a⁹b⁶

2.

Simplify $\left(2x^2y^3\right)\left(-5x^{-2}y^7\right)$

a)

$-10x^4y^{10}$

b)

$-3x^{-4}y^{21}$

c)

$\frac{-3y^{21}}{x^4}$

d)

$-10y^{10}$

3.

(34x⁵y⁶z^-7)⁰

a)

34x⁵y⁶ / z⁷

b)

34x⁵y⁶ / x^-7

c)

0

d)

1

4.

Simplify.
(x³ ⋅ y⁴ ⋅ z)³ ⋅ (x⁵ ⋅ y ⋅ z³)²

a)

x¹⁹y¹²z⁹

b)

x¹⁹ y¹⁴z⁹

c)

x¹³y¹⁰z⁹

d)

x²³y⁴²z¹¹

5.

What is the constant of this polynomial?

2x³- 8x²+ 3x - 7

a)

2

b)

-8

c)

3

d)

-7

6.

(x² – 3x + 1) + (2x – 4x²)

a)

-3x²- x+1

b)

-3x² -2x + 4

c)

3x² -7x + 1

d)

3x² -5x + 1

7.

(x + 3)(x - 2)

a)

x² + 5x - 6

b)

x² + x + 1

c)

x² + x - 6

d)

x² + 5x + 1

8.

(x + 5)²

a)

x² + 25

b)

x² + 10x + 25

c)

x² + 10 x + 10

d)

x² + 10

9.

Find

$(𝑥^3-x+1)\ -\ (3x-1)$

a)

$3x^3-1$

b)

$x^3-4x$

c)

$x^3-4x+2$

d)

$x^3+2x+2$

10.

$(x+y)(x−y)=x^2−y^2$

a)

TRUE

b)

FALSE

Exponent Rules & Factoring

Total questions: 10

Worksheet time: 1hrs 13mins

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