Question

Powers of 10 make it very easy to write large and small numbers, but as a result it can also be easy to forget the large differences between different powers. We can compare any two numbers by dividing them. For example, we say that 12 is four times as large as 3 because 12÷3=4. Complete the sentences below comparing pairs of powers of 10.

Answer 1

Answer:let us compare the following pairs of power of 10,9×10^6 ÷3×10^12=3×10^-6

Explanation:

Comparing pairs of power of 10 involve applying principle of indices.in what is known as the laws of indices

Law1 states that X^a ×X^b=X^(a+b) meaning that multiplication of indices results to addition of the indexes raise as exponenet of 10, similarly a division as in the answer above always lead to substraction of the indexes as seen in the example 9×10^6/3×10^12 will becomen9÷3×10^(6-12)=3×10^-6.