Find the value of x in the following expression

We are given:

$(0.36)^3 \times (0.216)^3 \div (0.1296)^3 = (60\div 100)^{x+1}$

Step 1: Simplify the left-hand side

$\frac{(0.36)^3 \cdot (0.216)^3}{(0.1296)^3} = \left(\frac{0.36 \cdot 0.216}{0.1296}\right)^3$

$0.36 \cdot 0.216 = 0.07776$

$\frac{0.07776}{0.1296} = 0.6$

So LHS becomes: $(0.6)^3$

Step 2: Express 0.6 as a fraction

$0.6 = \frac{60}{100}$

So LHS = $(60\div 100)^3$

Step 3: Compare with RHS

RHS = $(60\div 100)^{x+1}$

Therefore:

$x + 1 = 3$

$x = 2$

✅ Answer: $x = 2$