Simplify and express the final result using positive exponents. (\frac{4a

tabita57i

tabita57i

Answered question

2021-09-26

Simplify and express the final result using positive exponents.
(4a23b2)2

Answer & Explanation

faldduE

faldduE

Skilled2021-09-27Added 109 answers

We have to simplify the expression:
(4a23b2)2
We know the exponents rule,
(ab)m=ambm
(am)n=an×n
am=1am
Applying above rule for the given expression, we get
(4a23b2)2=(4a23b2)2
=(4a2)2(3b2)2
=(4)2(a2)2(3)2(b2)2
=142a(2)×(2)132b(2)×(2)
=116a419b4
=9a416b4
Hence, simplified form of the expression is 9a416b4

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