Question

1000m ÷ 100n can be written in the form 10z. Express z in terms of m and n

Answer 1

To express 1000m ÷ 100n in the form 10z, we can simplify the expression by canceling out common factors. The expression can be written as 10m-1.

Step-by-step explanation:

To express 1000m ÷ 100n in the form 10z, we can simplify the expression by canceling out common factors. First, we can simplify 1000m by dividing it by 100, which gives us 10m. Next, we can simplify 100n by dividing it by 100, which gives us n. Therefore, 1000m ÷ 100n can be written as 10m ÷ n.

Now, in order to express it in the form 10z, we can rewrite it as 10m × n-1. This means that z is equal to m - 1. So, the expression can be written as 10m-1.