please help i need it right now thank so much

Question

Simplify.

Rewrite the expression in the form \[9^n\].

\[\dfrac{9^{-3}}{9^{12}}=\] 

Answer 1

Step 1: Use the rule of exponents

The rule for dividing exponents with the same base is:

\[\frac{a^m}{a^n} = a^{m-n}\]

Applying this rule to the expression:

\[\dfrac{9^{-3}}{9^{12}} = 9^{-3-12}\]

Step 2: Simplify the exponent

Now, simplify the exponent:

\[9^{-3-12} = 9^{-15}\]

The expression \(\dfrac{9^{-3}}{9^{12}}\) can be rewritten as:

\[9^{-15}\]

Answer 2

You should probably repost without all the distractions (blue background, backslashes, braces, etc. It looks like the problem is suggesting that you write the expression in the form 9^n (9 raised to the nth power) and that the expression is 9^(-3) times 9^(12). If that is the case then you are using the first law of exponents (the product of powers with the same base--add the exponents). So it looks like the correct answer is: 9^(-3+12) = 9^(9).

OR:

9^-3(9)¹² = 9⁹

^{OR now that I see the frac{}{}}

9^-3/9¹² = 9^-3-12= 9^-15 which is the same as 1/9¹⁵

Answer 3

\[9^n\].

\[\dfrac{9^{-3}}{9^{12}}=\] 

9ⁿ 9^-3/9¹² = 9^n-3+12 = 9ⁿ⁺⁹