Question

If x is not equal to zero, what is the value
of 4(3x)^2 / (2x)^2​

Answer 1

Answer:

9

Step-by-step explanation:

4(3x)^2/(2x)^2

=4(9x^2)/4x^2

=36x^2/4x^2

=9

Answer 2

$\displaystyle \sf{ \frac{4 {(3x)}^{2} }{ {(2x)}^{2} } } = 9$

Given :

$\displaystyle \sf{ \frac{4 {(3x)}^{2} }{ {(2x)}^{2} } } \: \: , \: x \ne \: 0$

To find :

Simplify the given expression

Formula :

$\displaystyle \sf{\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} }$

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is

$\displaystyle \sf{ \frac{4 {(3x)}^{2} }{ {(2x)}^{2} } }$

Step 2 of 2 :

Simplify the given expression

$\displaystyle \sf{ \frac{4 {(3x)}^{2} }{ {(2x)}^{2} } }$

$\displaystyle \sf{ = \frac{4 \times {(3x)}^{2} }{ {(2x)}^{2} } }$

$\displaystyle \sf{ = \frac{4 \times 9{x}^{2} }{ 4{x}^{2} } }$

$\displaystyle \sf{ = \frac{4 \times 9}{ 4} } \times {x}^{2 - 2} \: \: \: \bigg[ \: \because \:\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} \bigg]$

$\sf = 9 \times {x}^{0}$

$\sf = 9 \times 1$

$\sf = 9$

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