SOLUTION: How do I simplify {{{(-2a^2*b^3)^2 /(2a^2*b)^3 }}}

SOLUTION: How do I simplify {{{(-2a^2b^3)^2 /(2a^2b)^3 }}}

Question 187053: How do I simplify
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
simplify (-2a^2*b^3)^2 /(2a^2*b)^3
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= (4a^4b^6) / (8a^6b^3)
= (1/2)(b^3/a^2)
====================
Cheers,
Stan H.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Rewrite as . Rewrite as . Rewrite as

Multiply the outer exponent by EVERY exponent in the parenthesis

Multiply

Square -2 to get 4. Cube 2 to get 8

Reduce to get (these are the coefficients).

Subtract the exponents to divide the monomials.

Subtract

Flip the variable that has the negative exponent to make the exponent positive.

So where or
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