Radical expression by factoring out largest perfect n-th powerGiven: \sq

FobelloE 2021-09-22 Answered

Radical expression by factoring out largest perfect n-th power
Given: 644

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Expert Answer

Demi-Leigh Barrera
Answered 2021-09-23 Author has 97 answers

Calculation:
Step 1: Split into factors
644=2×2×2×2×2×24
=(2×2×2×2)×2×24
=(2)4×2×24
=(2)4×44
2 is the perfect 4th power factor
Step 2: Using product property abn=anbn
K(2)4×44=(2)4444
Step 3: Using rule xa=x1a to take the perfect 4th power factor out of the radical.
(2)44=244=21=2
Step 4: (2)4444=244
Therefore, we have
644=244
Conclusion: 644=244

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