2 answers:
7 x 10^-9
4 x 10^-7
1 x 10^4
2 x 10^4
Letter C
So, the smaller the exponent the smaller the number. So one that is -9 is very small.
We first want to compare the numbers through the exponents.
-9 is the lowest exponent, meaning it is the smallest number, so any answer that doesn't start with 7×10^-9 is incorrect
Meaning we can cross out answer choices A and B
-7 is the next to smallest exponent, but Choices C and D both have 4×10^-7 as the second, so we cannot out anymore answers.
After that the final two numbers each have the same exponent, so then we look at the actual numbers.
Which are 1 and 2, they are each risen to the 4th power, meaning they have 4 zero's after the number.
So the two numbers we have are 10000 and 20000
10000 is less than 20000, so that means 1×10^4 comes next in our ordering of least to greatest, leaving 2×10^4 as the greatest
So we order them properly from least to greatest, and our chart is:
7×10^-9 < 4×10^-7 < 1×10^4 < 2×10^4
This is the same as answer choice C, so C is your answer! Hopefully this all makes sense!
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