Question

The product 5 ⋅ 5 ⋅ 7 ⋅ 7 ⋅ 7 can be written using exponential notation as 5 2 ⋅ 7 3 or using decimal notation as 8575 (the value of this product is 8575). Rewrite each of the following products using both exponential and decimal notation. 3 ⋅ 8 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 8 Exponential notation: Decimal Notation: 7 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 6 ⋅ 3 Exponential notation: Decimal Notation:

Answer 1

Explanation:

As 5 ⋅ 5 ⋅ 7 ⋅ 7 ⋅ 7 = 5² ⋅ 7³ = 8575

Exponential notation: 5² ⋅ 7³

Decimal Notation: 8575

i) 3 ⋅ 8 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 8 = 3 . 7³ . 8² = 65856

Exponential notation: 3 . 7³ . 8²

Decimal Notation: 65856

ii) 7 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 6 ⋅ 3 = 3 . 6 . 7⁴ = 43218

Exponential notation: 3 . 6 . 7⁴

Decimal Notation: 43218