Question

6^3×4^3×x^3:x^2=24^2​

Answer 1

Ответ:

1/24

Объяснение:

24^3*x=24^2

x=1/24

Answer 2

Ответ:

x=3/72

Объяснение:

6^3×4^3×x^3:x^2=24^2

216×64×x^(3-2)=576

x=576/(216×64)

x=3/72

Answer 3

Let's solve the expression step by step:

$\frac{6^3 \times 4^3 \times x^3}{x^2} = 24^2$

First, simplify the numerator:

$6^3 \times 4^3 \times x^3 = (6 \times 6 \times 6) \times (4 \times 4 \times 4) \times (x \times x \times x)$

$= 216 \times 64 \times x^3$

Now, substitute this back into the original expression:

$\frac{216 \times 64 \times x^3}{x^2} = 24^2$

Now, cancel out one power of $x$ from the numerator and denominator:

$\frac{216 \times 64 \times x}{x} = 24^2$

$216 \times 64 = 24^2 \times x$

Now, solve for $x$:

$x = \frac{216 \times 64}{24^2}$

$x = \frac{13824}{576}$

$x = 24$

So, the solution to the equation is $x = 24$.