What is ((2x)^{-2})/((3x)^{-2)} ?

The solution to ((2x)^{-2})/((3x)^{-2)} is 9/4

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simplify ((2x)^{-2})/((3x)^{-2)}

simplify

\frac{( 2 x ) ^{- 2}}{( 3 x ) ^{- 2}}

\frac{9}{4}

Decimal Notation

2.25

Solution steps

\frac{( 2 x ) ^{- 2}}{( 3 x ) ^{- 2}}

Simplify

(2 x)^{- 2} : \frac{1}{4 x ^{2}}

= \frac{\frac{1}{4 x ^{2}}}{( 3 x ) ^{- 2}}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{1}{4 x ^{2} ( 3 x ) ^{- 2}}

Simplify

4 x^{2} (3 x)^{- 2} : \frac{4}{9}

= \frac{1}{\frac{4}{9}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{9}{4}

\frac{4 - x}{x ^{5} - 5 x ^{3}} < 0

3 ∣ 8 + 2 x ∣ - 2 = 13

x^{2} + 2 x - 15 \geq 0

40 w x y - 16 w^{2} x + 10 w^{2} y^{2} - 4 w^{3} y

x^{2} - 12 x + 7 = 0

What is ((2x)^{-2})/((3x)^{-2)} ?
The solution to ((2x)^{-2})/((3x)^{-2)} is 9/4