Question

25th root of 10 minus 7 is divisible by what number?

Answer 1

Is this

\( \sqrt[25]{10} - 7\) or \(\sqrt[25]{10 - 7} \)?

Also the root part gives an irrational answer. How do you use divisibility with irrational numbers?

Answer 2

this is the equation 10^25 -7 is divisible by what number?

Answer 3

Oh, you mean 10 to the 25th power minus 7, not root.

\(10^{25} - 7 \)

Answer 4

yup

Answer 5

Look at the following pattern:

\(10^1 - 7 = 10 - 7 = 3\) divisible by 3
\(10^2 - 7 = 100 - 7 = 93\) divisible by 3
\(10^3 - 7 = 1000 - 7 = 993\) divisible by 3
\(10^4 - 7 = 10000 - 7 = 9993\) divisible by 3
\(10^5 - 7 = 100000 - 7 = 99993\) divisible by 3

Can you predict what will happen when the exponent is 25?

Answer 6

i tried it,its beyond billion,but that is in my questionaire

Answer 7

got it,thank u so much :)

Answer 8

Notice that 10^n, where n is a natural number (1, 2, 3, ...) is simply the number made up of a 1 followed by n zeros.

For example, 10^1 = 10 (1 followed by 1 zero).
10^4 = 10000 (1 followed by 4 zeros)
10^25 = 10000000000000000000000000

Answer 9

If you subtract 7 from such a number, you get either 3 (for 10 - 7), or one or more 9's followed by a 3, as I showed above.

For 10^25, you will have many, many 9's followed by a single 3.

That number is divisible by 3.

Answer 10

If you subtract 7 from such a number, you get either 3 (for 10 - 7), or one or more 9's followed by a 3, as I showed above.

For 10^25, you will have many, many 9's followed by a single 3.

That number is divisible by 3.

Answer 11

Great. You're welcome.

Answer 12

Great. You're welcome.

Answer 13

Great. You're welcome.

Answer 14

Great. You're welcome.

Answer 15

Great. You're welcome.

Answer 16

i still have some equations here can you please give me your email add

Answer 17

Just post them. Someone will help you.