Question

(x ^ 6 * z ^ 6)/((x ^ 2) ^ 3) = 0,000001 знайти z

Answer 1

Ответ:

0,1

Объяснение:

$\dfrac{x^6\cdot z^6}{\left (x^2)^3\right}=0,000001$

• При возведении степени в степень показатели умножают.

$\dfrac{x^6\cdot z^6}{x^6}=0,000001$

Сокращаем на $x^6$:

$z^6=0,000001$

$z^6=0,1^6$

z = 0,1

Answer 2

To solve the equation $\frac{x^6 \cdot z^6}{(x^2)^3} = 0.000001$ for $z$, you can simplify the expression first:

$\frac{x^6 \cdot z^6}{(x^2)^3} = 0.000001$

Simplify the denominator:

$\frac{x^6 \cdot z^6}{x^6} = 0.000001$

Now, cancel out the $x^6$ in the numerator and denominator:

$z^6 = 0.000001$

To find $z$, take the sixth root of both sides:

$z = \sqrt[6]{0.000001} \approx 0.1$

So, $z \approx 0.1$.