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How do you simplify #(a^-1b^2)/(ab) times (a^2b^3)/b^-2#?

Answer 1

Savannah Anderson

#b^6#

#(color(red)(a^-1)b^2)/(ab) times (a^2b^3)/color(blue)(b^-2)#

Use the law of indices #x^-m = 1/x^m# to get rid of the negative indices.

=#(b^2)/(color(red)(a)ab) xx (a^2b^3color(blue)(b^2 ))/1" "larr"now simplify"#

=#(a^2b^7)/(a^2b)#

=#b^6#

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Answer 2

Eli Assouline

To simplify ( \frac{a^{-1}b^2}{ab} \times \frac{a^2b^3}{b^{-2}} ), first combine the terms with the same base using the properties of exponents. Then simplify the expression. The simplified result is ( b^4 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.