Question

Complete the work to determine how many times larger a megaliter is than a hectoliter.

1. Divide powers:
106
102
2. Expand each power:
10 • 10 • 10 • 10 • 10 • 10
10 • 10
3. Divide common factors:
10 • 10 • 10 • 10 • 10 • 10
10 • 10
4. Simplify.
A megaliter is
times larger than a hectoliter.

Answer 1

1. Divide powers:
10^6 / 10^2 = 10^(6−2) = 10^4

2. Expand each power:
10 • 10 • 10 • 10 • 10 • 10
10 • 10

3. Divide common factors:
(10 • 10 • 10 • 10 • 10 • 10) / (10 • 10) = 10 • 10 • 10 • 10

4. Simplify.
10 • 10 • 10 • 10 = 10^4 = 10,000

A megaliter is 10,000 times larger than a hectoliter.