# Simplify the Expression (2a^6/b^7)(-b^4/a^2)^3

##### Question
Simplify the expression (2a^6/b^7)(-b^4/a^2)^3

STEP 1:   Observe the given expression: If you observe the expression, then you notice that it contains a term in which a quotient is raised to a power. The first step in simplifying the expression will obviously be to simplify that term.

The exponent law which can be helpful for this purpose is: The law simply means to bring the power into each term of the quotient. See what happens when we apply the law. STEP 2:    The numerator and the denominator of that fraction still contain powers raised to the third power. Multiply the exponents making use of the law:
(am)n = amn

We get: STEP 3:     What we want to do here is to write as a product such that all expressions with like bases are brought together. STEP 4:     Now, the operation left is to divide powers with like bases. When you divide, the exponents subtract. The final simplified expression that you get is –2b5.

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