Question

Finding the Quotient of Powers with the Same Base
The table below represents the metric volume measure of a liter with each amount represented as a power of 10.

A 2-column table with 5 rows. Column 1 is labeled Unit with entries centiliter, liter, hectoliter, kiloliter, megaliter. Column 2 is labeled Power of 10 with entries 10 Superscript negative 2, 10 Superscript 0, 10 squared, 10 cubed, 10 Superscript 6.

The work shows that a megaliter is 10,000 times larger than a hectoliter.

106
102
= 104 = 10,000

The
of the original exponent is the exponent in the power of quotient.
The kiloliter is 103 times greater than a
.
The hectoliter is
times greater than centilite

Answer 1

Answers (filled in):

- The difference of the original exponents is the exponent in the power of the quotient.
(Rule: 10^a ÷ 10^b = 10^(a−b).)

- The kiloliter is 10^3 times greater than a liter.

- The hectoliter is 10,000 (10^4) times greater than a centiliter.