Simplify radicals and exponents (\frac{ab^2c^{-3}}{2a^3b^{-4}})^{-2}

Chardonnay Felix

Chardonnay Felix

Answered question

2021-10-26

Simplify radicals and exponents
(ab2c32a3b4)2

Answer & Explanation

Arnold Odonnell

Arnold Odonnell

Skilled2021-10-27Added 109 answers

For division subtract the exponents. 12=21
(ab2c32a3b4)2
=(12a13b2(4)c3)2
=(21a2b6c3)2
Distribute the exponent -2 . It will multiply with other exponents inside the bracket. Negative exponent means reciprocal.
(21a2b6c3)2
=21(2)a2(2)b6(2)c3(2)}
=22a4b12c6
=4a4c6b12
Answer: =4a4c6b12

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