3^8 x 3^4 divide 3^2 x 3^8

Question

asked May 18, 2023 66.3k views

1 Answer

Bladexeon · Answer 1 · 2023-05-22T05:32:04+0000

⇒I will be using the laws of exponents. As indicated below :

⇒
$x^(n) *x^(m) \\=x^(n+m)$

This just simply means that if you are multiplying powers of the same base you keep one base as a result and add the exponents.

⇒ The other law of exponents is indicated below:

⇒
$x^(n) /x^(m) \\=x^(n-m)$

This means that if you are dividing powers of the same base you keep one base and subtract the exponents.

N.B : BODMAS RULES ALSO APPLY

$((3^(8) *3^(4) ))/((3^(2)*3^(8) ) ) \\=(3^(8+4) )/(3^(2+8) ) \\=(3^(12) )/(3^(10) ) \\=3^(12-10) \\=3^(2) \\=9$

Attached is your solution. Goodluck!!