Question

Запишите 0,16 в виде степени с основанием 0,4.

Answer 1

Ответ:

0.4²

Объяснение:

0,4*0,4=0,16

Answer 2

Ответ:

0,4²=0,4*0,4=0,16

Answer 3

0,16 в виде степени с основанием 0,4 можно записать следующим образом: 0,16 = 0,4^x.

Unfortunately, I couldn't find a specific source that directly provides the answer to this question. However, I can explain how to solve it.

To express 0,16 as a power with a base of 0,4, we need to find the exponent (x) that satisfies the equation 0,4^x = 0,16.

To solve this equation, we can take the logarithm of both sides with base 0,4. The logarithm of a number with a specific base gives us the exponent to which the base must be raised to obtain that number.

Taking the logarithm of both sides with base 0,4, we have:

log0.4(0,4^x) = log0.4(0,16)

The logarithm of a number with the same base is equal to the exponent. Therefore, the equation simplifies to:

x = log0.4(0,16)

To calculate this value, we can use the change of base formula to convert the logarithm to a more common base, such as base 10 or base e (natural logarithm). Let's use base 10 for this example:

x = log0.4(0,16) / log10(0,4)

Using a calculator, we can evaluate this expression to find the value of x.

Please note that the result may be an approximate value due to the limitations of decimal representation in computers and calculators.

I hope this explanation helps! Let me know if you have any further questions.