Question

(0,04)*-2:(1/5)*-3= *-2(степень) *-3(степень)

Answer 1

Ответ:

решение смотри на фотографии

Answer 2

To solve the given expression:

$0.04 \times (-2) \div \left(\frac{1}{5} \times (-3)\right) = (-2)^{\text{power}} \times (-3)^{\text{power}}$,

let's start by simplifying the arithmetic operations step by step:

1. $0.04 \times (-2)$ $= -0.08$

2. $\frac{1}{5} \times (-3)$ $= -\frac{3}{5}$

Now, we can rewrite the original expression with these values:

$(-0.08) \div (-\frac{3}{5}) = (-2)^{\text{power}} \times (-3)^{\text{power}}$

Next, let's simplify the division:

$(-0.08) \div (-\frac{3}{5}) = \frac{-0.08}{-\frac{3}{5}} = \frac{0.08 \times 5}{3}$

Now, we need to find the values of $power$ that satisfy the equation:

$\frac{0.08 \times 5}{3} = (-2)^{\text{power}} \times (-3)^{\text{power}}$

To solve for $power$, we'll need to simplify the fraction on the left-hand side:

$\frac{0.4}{3} = (-2)^{\text{power}} \times (-3)^{\text{power}}$

Now, let's express $0.4$ as a fraction:

$\frac{2}{5} = (-2)^{\text{power}} \times (-3)^{\text{power}}$

Now, we can see that $power$ is the exponent to which both $-2$ and $-3$ must be raised to get $\frac{2}{5}$. To find $power$, we can take the logarithm of both sides:

$\log_{(-2)}\left(\frac{2}{5}\right) = \log_{(-3)}\left(\frac{2}{5}\right)$

Using logarithm properties, we can rewrite this as:

$\frac{\log\left(\frac{2}{5}\right)}{\log(-2)} = \frac{\log\left(\frac{2}{5}\right)}{\log(-3)}$

Now, we can plug this into a calculator to find the approximate value of $power$:

$power \approx \frac{\log\left(\frac{2}{5}\right)}{\log(-2)} \approx \frac{\log(0.4)}{\log(-2)} \approx -0.430676558073393$ (approximately)

So, $power \approx -0.430676558073393$.