G7-Ch-11 Exponents and powers

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

Which is equivalent to 3⁴

• 27
• 9
• 81
• 12

Express each of the following as product of powers of their prime factors: 3600

• 2⁴ x 3² x 5²

• 2⁵ x 3⁴ x 5⁴

• 5⁵ x 4³

Using laws of exponents, simplify and write the answer in exponential form: ( 20²⁰÷20¹⁵) x 2³

• 2³⁵ x 2³

• 2⁵ x 2³

• 2⁸

Compare the following numbers and choose the greater:

(2.45 x 10¹⁹) and (34.5 x 10²³)

• (2.45 x 10¹⁹)

• (34.5 x 10²³)

Say true or false and justify your answer:

2³ × 2² × 5⁵ = 10⁵

• True

• False

Simplify: (3⁰ + 2⁰ ) × 5⁰

• 3

• 2

• 1

Express each of the following as a product of prime factors only in exponential form:

729 x 64

• 3⁴ x 2⁶

• 3⁶ x 2⁶

• 3⁵ x 7²

Write the following numbers in the expanded forms:

30, 06, 194

• 3×10⁶ +6×10³ +1×10² +9×10⁰ +4

• 3×10⁵ +6×10⁴ +1×10³ +9×10¹ +4x1

• 3×10⁶ +0×10⁵ +0×10⁴ +6×10³ +1×10² +9×10¹ +4×10⁰

Express the number appearing in the following statements in standard form.

The distance between Sun and Saturn is 1,433,500,000,000 m

• 14335 x 10⁸m

• 1.4335 × 10¹² m

• 1.4335 x 10⁸ m