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Cloud [144]
3 years ago
11

What is the radical form of each of the given expressions? 4 1/7 AND 4 7/2 AND 7 1/4 AND 7 1/2 I WILL UPVOTE

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
4 0
Assuming these are 4^(1/7), 4^(7/2), 7^(1/4) and 7^(1/2), the conversion process is pretty quick. the denominator, or bottom, of your fraction exponent becomes the "index" of your radical -- in ∛, "3" is your index, just for reference. the numerator, aka the top of the fraction exponent, becomes a power inside the radical.

4^(1/7) would become ⁷√4  .... the bottom of the fraction becomes the small number included in the radical and the 4 goes beneath the radical
in cases such as this one, where 1 is on top of the fraction radical, that number does technically go with the 4 beneath the radical--however, 4¹ = 4 itself, so there is no need to write the implied exponent.

4^(7/2) would become √(4⁷)  ... the 7th power goes with the number under your radical and the "2" becomes a square root

7^(1/4) would become ⁴√7  ... like the first answer, the bottom of the fraction exponent becomes the index of the radical and 7 goes beneath the radical. again, the 1 exponent goes with the 7 beneath the radical, but 7¹ = 7

7^(1/2) would become, simply, √7
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Steps:

See attachment.

Description:

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