Divide 6 × 10⁴ by 6 × 10³. What is the result?

To divide the given terms, we’ll break it down step-by-step.

We have two sets of numbers to divide:

1. ( frac{6 times 10^4}{6 times 10^3} )
2. ( frac{1 times 10^7}{4 times 10^1} ) and ( frac{1 times 10^1}{4 times 10^7} )

Step 1: Solve the first division

[

frac{6 times 10^4}{6 times 10^3} = frac{6}{6} times frac{10^4}{10^3} = 1 times 10^{4-3} = 1 times 10^1 = 10

]

Step 2: Solve the second division ( frac{1 times 10^7}{4 times 10^1} )

[

frac{1 times 10^7}{4 times 10^1} = frac{1}{4} times frac{10^7}{10^1} = frac{1}{4} times 10^{7-1} = frac{1}{4} times 10^6 = 0.25 times 10^6 = 2.5 times 10