Question

Simplify the expression

`( (- 2ab^(2))^4 )/(2(a^(2) b)^( 3) )`
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Answer 1

Answer:
`(8b^(5) )/(a^(2) )`

Explanation:

`((-2ab^(2))^(4) )/(2(a^(2)b)^(3) )`

To raise a product to a power, raise each factor to that power

`(16a^(4)b^(8) )/(2(a^(2)b)^(3) )`

To raise a product to a power, raise each factor to that power

`(16a^(4)b^(8) )/(2a^(6)b^(3) )`

Cancel out the common factor 2

`(8a^(4)b^(8) )/(a^(6)b^(3) )`

Simplify the expression

`(8a^(4)b^(5) )/(a^(6) )`

Simplify the expression

`(8b^(5) )/(a^(2) )`