Free Printable Alg I Laws of Exponents

1.

According to exponent rules, when we multiply terms with the same base we _______ the exponents.

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

2.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

3.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

4.

Simplify the exponential expression.

a)

2x⁶y¹²

b)

2x⁵y⁷

c)

8x⁶y¹²

d)

8x⁵y⁷

5.

Which expression is equivalent to the given?

a)

b)

c)

d)

6.

a)

a⁷

b)

a¹⁰

c)

a³

d)

a^-3

7.

(x³)(x²)

a)

x^-5

b)

x^-6

c)

x⁶

d)

x⁵

8.

Simplify:
(x⁵)⁴

a)

x⁹

b)

x²⁰

c)

x

d)

x⁵⁴

9.

According to exponent rules, when we divide the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

10.

Simplify the following expression:

3x⁴ ⋅ 6x⁶

a)

18x¹⁰

b)

9x¹⁰

c)

18x²⁴

d)

9x²⁴

11.

Simplify the following expression:

5a³b⁵⋅ 3a²b²

a)

8a⁵b³

b)

15a⁵b⁷

c)

8a⁵b⁷

d)

15a⁵b³

12.

Simplify:

a)

x⁴/4y³

b)

x¹²/4y⁹

c)

x¹²/64y⁹

d)

x¹²/4y³

13.

a)

m⁴

b)

m⁶

c)

m¹⁰

d)

1/m⁶

14.

Simplify the expression. $-\frac{y^{-4}z^2\cdot y^0z^2}{\left(2z^{-4}\right)^3}$

a)

$-\frac{z^{16}}{8y^4}$

b)

$-y^{24}x^{18}$

c)

$\frac{y^3}{x}$

d)

$\frac{x^4z^6}{4y^7}$

15.

$\frac{18w^{15}v^{10}}{6w^3v^2}$

a)

$12w^{12}v^8$

b)

$3w^{12}v^8$

c)

$3w^5v^5$

d)

$12w^5v^5$

16.

$\left(\frac{2u^2\cdot2u}{2u^2v^0}\right)^2$

a)

$\frac{64v^{60}}{u^{42}}$

b)

$\frac{8v^5}{u^5}$

c)

$4u^2$

d)

$\frac{1}{u^{24}v^{32}}$

17.

$9x^6y^2\cdot5x^2y^3$

a)

$14x^8y^5$

b)

$14x^{12}y^6$

c)

$45x^8y^5$

d)

$45x^{12}y^6$

e)

$45x^8y^6$

18.

a)

6^-2

b)

1/6²

c)

1/36

d)

All of the above

19.

Simplify:

a)

a

b)

b

c)

c

d)

d

20.

Simplify:

a)

3x

b)

18x⁹

c)

11x/6

d)

3x^-1

Alg I Laws of Exponents

Total questions: 20

Worksheet time: 2hrs 40mins

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