Free Printable Chapter 16 Test

1.

36⁰=

a)

0

b)

1

c)

36

d)

-36

2.

(5³)⁵=

a)

5⁸

b)

5¹⁵

c)

15⁸

d)

15¹⁵

3.

5^-7=

a)

1/5⁷

b)

5⁷

c)

-5^-7

d)

-35

4.

5x³2x²

a)

10x⁵

b)

3x

c)

10x⁶

d)

7x⁵

5.

a)

x^1/2

b)

x³

c)

x²

d)

x^-2

6.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

7.

n⁴⋅n⁷

a)

n¹¹

b)

n4

c)

n²⁸

d)

n7

8.

Rewrite using a positive exponent.
w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

9.

Simplify.
4a^-2 ⋅ 2ab³

a)

8b³/a³

b)

4b³/a

c)

6b³/a

d)

8b³/a

10.

Simplify

a)

9a³/6b³

b)

9a³/8b³

c)

27a³/8b³

d)

6a³/5b³

11.

Simplify the following expression:

(3x⁴y⁵)²

a)

9x⁸y¹⁰

b)

6x⁸y¹⁰

c)

3x⁸y¹⁰

d)

x⁸y¹⁰

12.

Simplify $\frac{x^5y^6z^3}{x^4y^3z^7}$

a)

$\frac{xy^3}{z^4}$

b)

$xy^3z^4$

c)

$x^{20}y^{18}z^{21}$

d)

$x^9y^9z^{10}$

13.

Simplify $\left(w^{-3}x^5y^{10}z^3\right)^2$

a)

$w^{-6}x^{10}y^{20}z^6$

b)

$\frac{w^6}{x^{10}y^{20}z^6}$

c)

$\frac{x^{10}y^{20}z^6}{w^6}$

d)

$\frac{x^3y^8z}{w^5}$

14.

Simplify $\left(x^2y^{-3}z^{-5}\right)^{-1}$

a)

$x^{-2}y^3z^5$

b)

$\frac{x^2}{y^3z^5}$

c)

$\frac{y^3z^5}{x^2}$

d)

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

15.

Simplify $\left(v^{10}w^5x^2y^{-32}z^{-99}\right)^0$

a)

1

b)

0

c)

$v^{10}w^5x^2y^{-32}z^{-99}$

d)

$\frac{v^{10}w^5x^2}{y^{32}z^{99}}$

16.

a)

4y⁶

b)

4y²²

c)

30y⁶

d)

30y²²

17.

Simplify $\left(\frac{a^5b^7c^4}{a^6b^4c^8}\right)^3$

a)

$\frac{b^6}{a^4c^7}$

b)

$\frac{a^3c^{12}}{b^0}$

c)

$\frac{1}{a^0c}$

d)

$\frac{b^9}{a^3c^{12}}$

18.

Simplify.

a)

y¹⁵

b)

y⁵

c)

y²

d)

2y⁵

19.

Rewrite using a positive exponent.

2w^-13

a)

1/2w¹³

b)

2/_w¹³

c)

2/_w^-13

d)

2w¹³

20.

$4x^2\ \cdot\ 2x^3$

a)

$8x^5$

b)

$6x^2\cdot x^3$

c)

$6x^6$

d)

$8x^6$

21.

Simplify $\frac{4x^{-3}y}{2x^{-4}y^2}$

a)

$\frac{2x^4y}{x^3y^2}$

b)

$\frac{2x}{y}$

c)

$\frac{1x}{2y}$

d)

$\frac{4x^4y}{x^3y^2}$

22.

Simplify $\frac{6x^5}{48x^7}$

a)

$\frac{1}{8x^2}$

b)

$x^2$

c)

$\frac{6}{48x^2}$

23.

Simplify $\frac{a^{-2}b^3}{a^{-4}b^{-2}}$

a)

$\frac{a^5b^3b^2}{a^2}$

b)

$\frac{a^4b^5}{a^2}$

c)

$a^2b^5$

24.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

25.

Which is the expanded form of
5³

a)

3 x 3 x 3

b)

5 x 5

c)

5 x 5 x 5

d)

5 x 3

26.

Simplify (2x⁴y⁷)³

a)

6x⁷y¹⁰

b)

6xy³²

c)

8x¹²y²¹

d)

6xy²¹

27.

$\frac{-12x^4y^3}{3xy^2}$ Simplify:

a)

$-15x^5y^5$

b)

$-9x^3y$

c)

$4x^5y^5$

d)

$-4x^3y$

28.

Which expression is equivalent to the given?

a)

b)

c)

d)

29.

Simplify the following expression:

$xy^{-7}$

a)

$xy^7$

b)

$\frac{x}{y^7}$

c)

$\frac{x^7}{y}$

d)

$\frac{1}{xy^7}$

30.

Which of the expressions is equivalent to $3x^{-2}$ ?

a)

$\frac{3}{x^2}$

b)

$\frac{1}{3x^2}$

c)

$\frac{1}{9x^2}$

d)

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

31.

Simplify.
xy⁰

a)

xy

b)

x

c)

1

d)

0

32.

Simplify -4x⁰

a)

-4x

b)

-4

c)

1

d)

-1

33.

Write 0.000972 in scientific notation.

a)

9.72 x 10^-4

b)

9.72 x 10^-3

c)

972 x 10^-4

d)

9.72 x 10⁴

34.

Write 7.113 x 10⁷ in standard form.

a)

71,130,000

b)

7,113,000

c)

0.0000007113

d)

7,113

35.

Convert to scientific notation:
520,000,000

a)

52 x 10⁷

b)

5.2 x 10⁷

c)

5.2 x 10⁸

d)

0.52 x 10⁹

36.

Express the following in standard notation:

8.025 x 10^-8

a)

.00000008025

b)

.000000008025

c)

802,500,000,000

d)

80,250,000,000

37.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

38.

Express the following in scientific notation:
.000457

a)

457 x 10⁶

b)

457 x 10^-6

c)

4.57 x10⁴

d)

4.57 x 10^-4

39.

Convert to standard notation:
2.4 x 10^-3

a)

2400

b)

0.24

c)

0.024

d)

0.0024

40.

Convert this number into scientific notation: 950,000

a)

9.5 x 10⁵

b)

9.5 x 10^-9

c)

9.5 x 10²

d)

None of the above

Chapter 16 Test

Total questions: 40

Worksheet time: 2hrs 32mins

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