Grade-7-Exponents and Powers

Express each of the following numbers using exponential notation: 3125

• 5³

• 5⁸

• 5⁵

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

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)

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

• 2³⁵ x 2³

• 2⁵ x 2³

• 2⁸

Simplify: (3⁰ + 2⁰ ) × 5⁰

• 3

• 2

• 1

Say true or false and justify your answer:

2³ × 2² × 5⁵ = 10⁵

• True

• False

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

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

What is the exponent form for 
6?

• 6⁰
• 6¹

Which number is the BASE?
2³ = 8

• 2
• 3
• 8