Question

find the value of x (2*2*3*3)^2×=1296

Answer 1

Answer:

Step-by-step explanation:

(2x2x3x3)^2x = 1296

(36)^2x = 1296

1296x =1296

Therefore, x = 1296/1296

X = 1

Answer 2

$(2 \times 2 \times 3 \times 3) {}^{2x} = 1296$

When you will prime factorise
1296=2×2×2×2×3×3×3×3
It can be written as

2²×2²×3²×3²
=(2×2×3×3)²

Now
$( {2 \times 2 \times 3 \times 3})^{2x} = ( {2 \times 2 \times 3 \times 3}^{2}$

As you know when

When
Same number (a)
${a}^{x} = {a}^{y}$

Then
Same number will be remove and become

X=y

Just like Above
Both side are same
so,
2x=2
x=2/2
x=1

$\boxed{\textsf{x=1}}$