Free Printable Exponent Rules Quiz 2, 8B

1.

Simplify 2m⁴• 5m²

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

2.

Simplify the expression: r⁶⋅r²⋅r³=

a)

r⁶⁺²⁺³

b)

r¹¹

c)

11r

3.

$Simplify\ \ \ 8^6\cdot8^2.$

a)

$8^8$

b)

$8^{12}$

c)

$8^4$

d)

$8^3$

4.

$Simplify\ \ \ \ b^5\cdot b^{-2}.$

a)

$b^3$

b)

$b^7$

c)

$b^{-3}$

d)

$b^{-7}$

5.

$Simplify\ \left(3^4\right)^4.$

a)

$3^{16}$

b)

$3^8$

c)

$3^0$

d)

$3^4$

6.

$Simplify\ \left(\frac{3}{7}\right)^2\ .$

a)

$\frac{9}{49}$

b)

$\frac{9}{14}$

c)

$\frac{6}{14}$

d)

$\frac{32}{72}$

7.

$Simplify\ \ \ \ 987^0\ .$

a)

987

b)

0

c)

1

d)

-1

8.

Simplify
$\frac{10x^8y^5}{4x^2y^5}$

a)

$6x^6y$

b)

$\frac{5x^6}{2}$

c)

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

d)

$6x^6$

9.

Simplify.
$-5x^3\left(3x^7\right)$

a)

$-2x^{10}$

b)

$-15x^{21}$

c)

$-15x^{10}$

d)

$-2x^{21}$

10.

Simplify. Write using a positive exponent.
$\frac{-3m^2n^3}{-8m^3n^2}$

a)

$\frac{3m}{8n}$

b)

$\frac{-3n}{-8m}$

c)

$-\frac{3m}{8n}$

d)

$\frac{3n}{8m}$

11.

Simplify.
$\left(x^3\right)^4\cdot\left(x^2y^3\right)^2$

a)

$x^{16}y^6$

b)

$x^{11}y^6$

c)

$x^7y^5$

d)

$x^{16}y^5$

12.

Simplify. Write your answer using positive exponents.
$\left(x^{-2}\right)^3\left(x^6y^4\right)$

a)

$y^4$

b)

$x^1y^4$

c)

$x^{12}y^4$

d)

$x^{-12}y^4$

13.

Simplify. Write using a positive exponent.
$\left(2x^7y\right)\left(3x^{-2}y^2\right)\left(2x^3y\right)$

a)

$6x^8y^2$

b)

$12x^9y^3$

c)

$12x^8y^4$

d)

$7x^8y^4$

14.

Simplify:

$\left(-6m^3n^6\right)^2$

a)

$36m^5n^8$

b)

$-12m^6n^{12}$

c)

$36m^6n^{12}$

15.

Simplify: (-4r³s⁵)⁰ (3b⁴c²d)

a)

1

b)

-12b⁴c²d

c)

3b⁴c²d

d)

0

16.

If (2^x)⁵=2¹⁵, what does x equal?

a)

x = 3

b)

x = 5

c)

x = 10

17.

Find the area of a CIRCLE where radius $r=8x^3y^5$
The formula for area is:

A=\pi r^2

a)

$64x^6y^{10}$

b)

$16x^6y^{10}$

c)

$64x^1y^3$

d)

$16x^5y^7$

18.

Find the AREA of the triangle where base $b=3b^2$ and height $h=12p^7b^{19}$
The formula for area is:

A=\frac{1}{2}bh

a)

18b²¹p⁷

b)

18b⁷p²¹

c)

36b²¹p⁷

d)

36b³⁸p⁷

19.

Simplify: $\frac{a^{17}b^{10}}{a^2b^7}$

a)

$a^{34}b^{70}$

b)

$a^{15}b^{17}$

c)

$a^{19}b^3$

d)

$a^{15}b^3$

20.

Simplify: $\frac{a^{14}b^4c^5}{a^4b^2c^3}$

a)

$a^{18}b^6c^8$

b)

$a^{14}b^4c^5$

c)

$a^{10}b^2c^2$

d)

$a^{13}b^3c^4$

Exponent Rules Quiz 2, 8B

Total questions: 20

Worksheet time: 40mins

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