Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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


Sagot :

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.
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.