Free Printable Algebra 1 (Unit 1-1): 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.

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

a)

add

b)

subtract

c)

multiply

d)

divide

3.

According to exponent rules, when we raise a power to another power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

4.

Simplify $\left(-4r^5\right)\left(2r^8\right)$

a)

$-8r^{13}$

b)

$8r^{13}$

c)

$-8r^{40}$

d)

$-2y^{40}$

5.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

6.

Simplify the following:
$\left(x^2y\right)^5$

a)

$x^7y^5$

b)

$x^2y^5$

c)

$x^{10}y^5$

d)

$x^5y^5$

7.

Simplify the exponential expression.

a)

2x⁶y¹²

b)

2x⁵y⁷

c)

8x⁶y¹²

d)

8x⁵y⁷

8.

Simplify (2ab)³

a)

$2^3\cdot a^3\cdot b^3$

b)

$2ab^3$

c)

$6a^3b^3$

d)

$6ab$

9.

a)

a⁷

b)

a¹⁰

c)

a³

d)

a^-3

10.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

11.

Simplify: x ∙ x ∙ x ∙ x ∙ x ∙ x

a)

x⁶

b)

6x

c)

x³

d)

6x⁶

12.

a)

4⁹

b)

4⁴⁴

c)

4²¹

d)

4¹⁵

13.

Simplify.
$8^8\cdot8^4$

a)

$8^{32}$

b)

$8^{-32}$

c)

$8^4$

d)

$8^{12}$

14.

(2x⁷)³

a)

6x²¹

b)

8x²¹

c)

6x¹⁰

d)

8x¹⁰

15.

Simplify
$\frac{6x^5y^2}{2x^4y^2}$

a)

$3xy$

b)

$4x$

c)

$3x$

d)

$4xy$

16.

Simplify the expression.

a)

$2^{14}\cdot z^{13}$

b)

$\frac{2^2}{z^7}$

c)

$\frac{2^{14}}{z^7}$

d)

$2^2\cdot z^7$

17.

Simplify.
$\left(5x^3z^{10}\right)\left(3x^3z^{10}\right)$

a)

$15x^6z^{20}$

b)

$-15x^6z^{20}$

c)

$15x^9z^{100}$

d)

$15$

18.

Simplify.
$\frac{\left(m^5\cdot n^3\right)}{\left(m^2\cdot n\right)}$

a)

$m^3\cdot n^2$

b)

$m^7\cdot n^4$

c)

$m^{10}\cdot n^3$

d)

$3m\cdot2n$

19.

Simplify.
$\left(x^2y\right)^2$

a)

$x^4y^2$

b)

$x^4y^3$

c)

$x^2y$

d)

$2xy^2$

20.

Simplify.
$\frac{4m^4n\ ^3p^4}{2m^2n^2p^3}$

a)

$2m^2np$

b)

$6m^6n^5p^7$

c)

$8m^8n^6p^{12}$

d)

$16m^{16}n^9p^{64}$

Algebra 1 (Unit 1-1): Laws of Exponents

Total questions: 20

Worksheet time: 2hrs 40mins

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