Free Printable Exponent Rules

1.

(-4x⁴y²z³)(7x²y)

a)

28x⁸y⁴z³

b)

11x⁶y³z³

c)

-28x⁶y³z³

d)

3x⁶y³z³

2.

-2x⁰

a)

-2

b)

1

c)

0

d)

-2x

3.

4c⁶⋅9ac⁵

a)

14ac¹¹

b)

36ac¹¹

c)

14ac³⁰

d)

36ac³⁰

4.

(-14w)⁰

a)

-14

b)

0

c)

1

d)

-w

5.

(9mn)³

a)

729mn

b)

729m³n³

c)

27m³n³

d)

9mn³

6.

8x⁵y³⋅ 10xy³

a)

80xy³

b)

80x⁵y⁹

c)

80x⁶y⁶

d)

none of the above

7.

Simplify (-3x³)(5x⁶y)²

a)

-15x⁸¹y²

b)

75x³⁶y²

c)

-75x¹⁴y²

d)

-15x¹⁴y²

8.

Simplify (-3x⁴y⁵)²

a)

9x⁸y¹⁰

b)

6x⁸y¹⁰

c)

3x⁸y¹⁰

d)

-9x⁸y¹⁰

9.

(-4r³s⁵)⁰ (3b⁴c²d)

a)

1

b)

-12b⁴c²d

c)

3b⁴c²d

d)

0

10.

(2x²y³) (-4xy)²

a)

16x³y⁶

b)

-32x⁴y⁵

c)

-8x⁴y⁶

d)

32x⁴y⁵

11.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

12.

Simplify the following expression:
xy^-7

a)

xy⁷

b)

x/y⁷

c)

x⁷/y

d)

x⁷y

13.

Simplify (34x⁵y⁶z^-7)⁰

a)

34x⁵y⁶ / z⁷

b)

34x⁵y⁶ / x^-7

c)

0

d)

1

14.

Simplify 3a^-1c^-5/ d⁰

a)

1

b)

3/ac⁵

c)

3a/c⁵

d)

1/3a¹c⁵d

15.

Simplify.
2x^-5y⁷⋅3x^-4y^-2

a)

6x⁹y⁹

b)

6y⁵/x⁹

c)

6/x⁹y⁵

d)

6/x⁹y⁹

16.

Simplify the following
(no negative exponents):
$\frac{-48c^2d^4}{8cd}$

a)

$-40cd^3$

b)

$-40c^3d^5$

c)

$\frac{c^3d^5}{6}$

d)

$-6cd^3$

17.

Simplify the following
(no negative exponents):

$\frac{2x^4y^7}{-10x^3y^9}$

a)

$\frac{-1x}{5y^2}$

b)

$\frac{-8x}{y^2}$

c)

$-\frac{20x}{y^2}$

d)

$\frac{-20x^7}{y^2}$

18.

The area of a rectangle is 54x⁹y⁸ square yards. If the length of the rectangle is 6x³y⁴ yards, which expression represents the width of the rectangle in yards?

a)

9x³y²

b)

48x⁶y⁴

c)

9x⁶y⁴

d)

60x¹²y¹²

19.

Find the area of the triangle given:
B = 3b²
H = 12p⁷b¹⁹

a)

18b²¹p⁷

b)

18b⁷p²¹

c)

36b²¹p⁷

d)

36b³⁸p⁷

20.

Simplify $\frac{\left(3ab\right)^3\left(-2ab^4\right)}{6ab^2}$

a)

$-9a^4b^5$

b)

$-9a^3b^5$

c)

$-a^2b^{10}$

d)

$-3a^3b^5$

Exponent Rules - All

Total questions: 20

Worksheet time: 59mins

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