Simplify (2 x 3^-2)^3(5 x 3^2)^2/(3^-2)(5 x 2)^3

Mathematics

2 answers:

Maslowich2 years ago

8 0

Answer:

$\frac{12x^2}{5}$

Ronch [10]2 years ago

8 0

2 x 3^-2)^3(5 x 3^2)^2/(3^-2)(5 x 2)^3

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Plz help stuck on the question

Gekata [30.6K]

The length of the rectangle is n-3, ok, the width is 2

the area of a rectangle is just length * width

$\bf A=(n-3)(2)\implies \boxed{A=2n-6}
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\textit{to make some equivalent, let's use our good friend Mr 1}
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\textit{recall that }\cfrac{whatever}{whatever}=1\qquad \qquad \cfrac{same}{same}=1
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\cfrac{55}{55}\cdot 2n-6\implies \cfrac{55(2n-6)}{55}\implies \cfrac{110n-330}{55}
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or
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\cfrac{xyz}{xyz}\cdot 2n-6\implies \cfrac{xyz(2n-6)}{xyz}\implies \cfrac{2nxyz-6xyz}{xyz}$

so, if you simplify either of those, you'd end up with 2n-6.

because same/same = 1, and 1 * anything, is just anything itself.

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Step-by-step explanation:

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