Free Printable 7.1-7.2 Quiz

1.

In order to multiply powers with the same base, we add their exponents.

a)

True

b)

False

2.

Write the exponent form of this expression: (x⋅x⋅x)⋅(x⋅x)

a)

3x⋅2x

b)

5x

c)

x⁵

3.

Simplify: $y^2\cdot y^6$

a)

$y^{12}$

b)

$y^4$

c)

$y^8$

d)

$y^{26}$

4.

Simplify: $w^9\cdot w^{ }$

a)

$w^9$

b)

$w^{10}$

c)

$w$

d)

$w^8$

5.

Simplify: $h^3\cdot g^2\cdot h^5$

a)

$g^2\cdot h^8$

b)

$gh^{10}$

c)

$g^2\cdot h^{15}$

d)

$h^8$

6.

Simplify: $2x^5\cdot5x^6$

a)

$25x^{11}$

b)

$10x^{11}$

c)

$7x^{11}$

d)

$10x^{30}$

7.

Simplify: $m^5n^9\cdot m^2n^3$

a)

$m^{10}n^{12}$

b)

$m^7n^{27}$

c)

$m^7n^{12}$

d)

$m^{12}n^{27}$

8.

Billy was asked to solve 3⁵∙3⁴. He got 9²⁰. What error did he make?

a)

When he multiplies exponents, he is supposed to add the base and the exponent

b)

When he multiplies exponents, he is supposed to multiply the base and keep the exponents

c)

When he multiplies exponents, he is supposed to keep the base and add the exponents if the base is the same

d)

None of the above

9.

The length of a rectangle is 4a⁴b⁵ and the width is 3a²b³, what is the expression that represents the area of the rectangle?

a)

12a⁶b⁸

b)

7a⁶b⁸

c)

12a⁸b¹⁵

d)

12a²b²

10.

When dividing powers with the same base, you _______________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

11.

Simplify: $\frac{x^9}{x^2}$

a)

$x^{11}$

b)

$x^7$

c)

$x^{18}$

d)

$x^{92}$

12.

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)

$a^{15}b^3$

13.

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)

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

14.

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

a)

add

b)

subtract

c)

multiply

d)

divide

15.

Which of the following expressions is equivalent to (2x)³ ?

a)

(2x)(2x)(2x)

b)

2(x)(x)(x)

c)

2x + 2x + 2x

d)

2x⋅3

16.

Simplify. $\left(m^3\right)^5$

a)

$m^8$

b)

$m^{15}$

c)

$8m$

d)

$15m$

17.

$\left(4xy^3\right)^3$

a)

$x^3y^9$

b)

$64x^3y^9$

c)

$12x^4y^6$

d)

$64x^4y^6$

18.

\left(3n^4\right)^3

a)

$9n^{12}$

b)

$9n^7$

c)

$27n^7$

d)

$27n^{12}$

19.

$\left(\frac{xy^3}{z^4}\right)^2$

a)

$\frac{xy^6}{z^8}$

b)

$\frac{x^2y^9}{z^{16}}$

c)

$\frac{x^2y^6}{z^8}$

d)

$\frac{xy^9}{z^{16}}$

20.

Simplify: $\left(\frac{3x^2y^3}{6x^5}\right)^3$

a)

$\frac{27y^9}{216x^9}$

b)

$\frac{216x^9}{27y^9}$

c)

$\frac{9x^6y^9}{18x^{15}}$

d)

$\frac{9x^5y^6}{18x^8}$

7.1-7.2 Quiz

Total questions: 20

Worksheet time: 46mins

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