Divide.
6 × 10⁴
6 × 10³
1 × 10⁷
4 × 10¹
1 × 10¹
4 × 10⁷
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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