Question

4⋅10 ​6 ​​ 4, dot, 10, start superscript, 6, end superscript is how many times as large as 1\cdot10^41⋅10 ​4 ​​ 1, dot, 10, start superscript, 4, end superscript?

Answer 1

The given problem is very confusing since it was copy pasted directly from the source so the equations look scrambled and plus it was one words. After my own translation, I believe the given numbers are:

4 ⋅ 10^6

and

1 ⋅ 10^4

The symbol ⋅ means that the two numbers are multiplied while the symbol ^ means an exponent of. Now we are asked to find how much the 1st number is larger than the 2nd number. To solve this, we simply have to divide the bigger number by the smaller number. Since 4 ⋅ 10^6 has bigger exponent than 1 ⋅ 10^4 then it is the bigger number.

Ratio = 4 ⋅ 10^6 / 1 ⋅ 10^4

Ratio = 4 ⋅ 10^2 = 400

Therefore 4 ⋅ 10^6 is 400 times bigger than 1 ⋅ 10^4.

 

Answer:

400 times

Answer 2

Having knowledge about potencies we will find that the final value will be greater than 400 times.

Recalling the properties of powers we find:

• Multiplication of powers with the same base.
• Division of powers with the same base.
• Power of potency.
• Potency of a product.
• Quotient power.

Then we can write the two given powers as:

$4 *10^6\\1 * 10^4$

We know that we have a multiplication and a power, so solving for each of them, we find:

$Ratio = 4 *10^6 / 1 * 10^4\\Ratio = 4 * 10^2 = 400$

See more about power at brainly.com/question/1618040