# How do you simplify #(-2x^2)^3(4x^3)^-1 #?

##### 1 Answer

Jul 11, 2016

#### Explanation:

**Rule #1:**

#(a^b)^c = a^(b*c)#

**Rule #2**

#a^-1 = 1/a#

**Rule #3**

#(a^b)/(a^c) = a^(b-c#

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Use rules

Simplify by multiplying out the exponents

Write as fractions

Rewrite as a single fraction

Multiply numerator and denominator by

Simplify coefficients and then simplify variables using rule

Write without a denominator