Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

A number to the 12th power divided by the same number to the 9th power equals 125.what is the number

Sagot :

Samilina
n^12/n^9 = 125
Let's use our product rules first!
n*n*n*n*n*n*n*n*n*n*n*n/n*n*n*n*n*n*n*n*n

We can cancel out nine of those and we're left with:
 n^3 = 125.

We should expand that....
 n*n*n = 125.

What times itself three times is 125? Oh! That would be the cubed root! Let's find it.
4*4*4 = 64, so that's not it.
How about 6*6*6? Nope, that's 216.
Hmm... 5*5*5? Yes! That's it.

That means we're left with n=5. Let's plug it back in, just to check.
5^12/5^9 = 125
5^3 = 125
5*5*5 = 125

That's correct, so your answer would be that the number is 5.
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.