MATH SOLVE

5 months ago

Q:
# There is an average of 3.5×10−2 kilograms of dissolved salt in each liter of seawater. The Pacific Ocean contains approximately 6.6×1020 liters of seawater. About how many kilograms of dissolved salt are in the Pacific Ocean? Enter your answer, in scientific notation, in the boxes. ×× 10 kg

Accepted Solution

A:

2.3 * 10^(19)

3.5 * 10⁻² * 6.6 * 10⁽²⁰⁾

3.5 * 10⁻² * 6.6 * 10⁽²⁰⁾ = 3.5 * 6.6 * 10⁻² * 10²⁰⁾

xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ - 10⁻² * 10²⁰ = 10⁽⁻² ⁺ ²⁰⁾ = 10⁽ ¹⁸ ⁾

3.5 * 6.6 * 10⁽ ¹⁸ ⁾

3.5 * 6.6 = 23.1

3.5 * 10⁻² * 6.6 * 10⁽²⁰⁾

3.5 * 10⁻² * 6.6 * 10⁽²⁰⁾ = 3.5 * 6.6 * 10⁻² * 10²⁰⁾

xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ - 10⁻² * 10²⁰ = 10⁽⁻² ⁺ ²⁰⁾ = 10⁽ ¹⁸ ⁾

3.5 * 6.6 * 10⁽ ¹⁸ ⁾

3.5 * 6.6 = 23.1