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vlada-n [284]
3 years ago
10

(3x^-7 yz^-3)(3x)^-4

Mathematics
1 answer:
Alex3 years ago
8 0

Answer:

The step wise solution is shown below:

Step-by-step explanation:

                (3x^{-7} y z^{-3} ) (3x)^{-4}

            =  (3x^{-7} (3x)^{-4}  y z^{-3} )

            = 3^{1-4} x^{-7-4} y z^{-3}

            = 3^{-3} x^{-11} yz^{-3}

            = \frac{y}{3^{3} x^{11}z^{3}  }

            = \frac{y}{27 x^{11}z^{3}  }

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We have been given an expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}. We have been given steps how Chris tried to solve the given expression. We are asked to choose the correct option about Chris's work.

Let us simplify our given expression.

Using exponent property, a^m\cdot a^n=a^{m+n}, we cab rewrite our given expression as:

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