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Answer :
Final answer:
The number 172 can be expanded using powers of 10 in exponential form as 1.72 x 10^2. This is derived by shifting the decimal point two places to the left and raising 10 to the power of the number of places shifted.
Explanation:
The student is asking to expand the number 172 using powers of 10 in exponential form. The exponential method involves using the power (exponent) of 10, equal to the number of places the decimal is moved.
So, to convert the number 172 to exponential form, first, we have to rewrite it as 1.72 x 100. This is because we're shifting the decimal two places to the left, so the index of 10 is '2'.
After that, we can express the 100 as a power of 10, giving us the final result of 1.72 x 10².
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