In 3ⁿ, n is known as

1

(a)

base

(b)

constant

(c)

exponent

(d)

variable

5^-2 can be written as

1

(a)

\(\frac{1}{5}\)

(b)

\(\frac{1}{5^{2}}\)

(c)

5²

(d)

-\(\frac{2}{5}\)

The value of \(\frac{1}{9^{-2}}\) is

1

(a)

27

(b)

81

(c)

-81

(d)

18

The reciprocal of \((\frac{3}{7})^{-1}\)is

1

(a)

\(\frac{7}{3}\)

(b)

\(-\frac{3}{7}\)

(c)

\(-\frac{7}{3}\)

(d)

\(\frac{3}{7}\)

The value of 5² x 5^-2 is

1

(a)

1

(b)

5

(c)

5⁴

(d)

5^-4

Which of the following is the standard form of 0.00001275?

1

(a)

1.275 \(\times\) 10^-5

(b)

1.275  \(\times\) 10^-5

(c)

127.5  \(\times\) 10^-7

(d)

 127.5\(\times\) 10⁷

Which of the following is the used form of 5.05 \(\times\) 10⁶?

1

(a)

505000

(b)

505000000

(c)

5050000

(d)

50500000

For Which of the following m = 8?

1

(a)

\(\frac { { 5 }^{ m }\div { 5 }^{ -3 } }{ { 5 }^{ 2 } } ={ 5 }^{ 3 }\)

(b)

\(-\frac { { 5 }^{ m }\div { 5 }^{ -3 } }{ { 5 }^{ 3 } } ={ 5 }^{ 2 }\)

(c)

\(\frac { { 5 }^{ m }\div { 5 }^{ 3 } }{ { 5 }^{ 2 } } ={ 5 }^{ 3 }\)

(d)

\(\frac { 5\div { 5 }^{ -2 } }{ { 5 }^{ 2 } } ={ 5 }^{ 3 }\)

1 micron is equal to \(\frac { 1 }{ 1000000 } m\). Which of the following is its standard form?

1

(a)

1.1 \(\times\) 10^-5

(b)

1.6 \(\times\) 10^-5

(c)

0.1 \(\times\) 10^-6

(d)

1.0 \(\times\) 10^-6

\({ \left[ { \left( \frac { 1 }{ 2 } \right) }^{ -1 }+{ \left( \frac { 2 }{ 3 } \right) }^{ 2 }-{ \left( \frac { 3 }{ 4 } \right) }^{ 0 } \right] }^{ 2 }\) is equal to:

1

(a)

\(\frac { 81 }{ 484 } \)

(b)

\(\frac { 81 }{ 169 } \)

(c)

\(\frac { 169 }{ 81 } \)

(d)

\(\frac { 16 }{ 81 } \)

100⁰ = ____________

1

(a)

1

The value of(4^-1 + 2^-1 + 3^-1)¹ is  _____________ 

1

(a)

\(\frac{12}{13}\)

The standard form of 12345000000 is ____________

1

(a)

1.2345 x 10¹⁰

The standard form of \(\frac{1}{10000000000}\) is ____________

1

(a)

10^-10

The value of [2^-1 +3^-1 +4^-1 +5^-1]⁰ is _____________

1

(a)

1

(-8)^-2 x(-8)^-3 =(-8)^-5

1

(a) False

(b) True

The value of \(\frac{1}{7^{-3}}\) is equal to 216.

1

(a) True

(b) False

\((-\frac{9}{2})^{0}=0\)

1

(a) True

(b) False

\(a^{m}\times a^{n}=(ab)^{mn}\)

1

(a) True

(b) False

\((\frac{7}{9})^{-2}\times (\frac{7}{9})^{-8}=(\frac{7}{9})^{16}\)

1

(a) True

(b) False

Find the multiplicative inverse of the following:
5^-3

1

(a)

Find the multiplicative inverse of the following:
10^-100

1

(a)

Expand the following numbers using exponents.
1025.63 

1

(a)

Write each of the following in standard form: 0.0016

1

(a)

Write each of the following in standard form: 0.00001278

1

(a)

Find the standard form of the number 0.0005+0.0085.

3

(a)

Express each of the following numbers in standard form.
0.0005

3

(a)

Write the following in standard form: 0.000000456

3

(a)

Write the following in standard form: 34500000.

3

(a)

Express 2.0001 \(\times\) 10⁹  in usual form.

3

(a)

Astronomy The table shows the mass of the planets, the Sun and the Moon in our solar system.

Celestial Body	Mass (kg)	Mass (kg) in Standard Notation
Sun	1990000000000000000000000000000
Mercury	330000000000000000000000
Venus	4870000000000000000000000
Earth	5970000000000000000000000
Mars	642000000000000000000000000000
Jupiter	1900000000000000000000000000
Saturn	568000000000000000000000000
Uranus	86800000000000000000000000
Neptune	102800000000000000000000000
Pluto	12700000000000000000000
Moon	73500000000000000000000

(a) Write the mass of each celestial body in standard notation.
(b) Arrange the planets and the Moon according to their mass from least to greatest.
(c) Which planet has same mass as the Earth? 

5

(a)