Question

Simplify
3 to the negative power of 9
over 3 to the negative power of 12

Answer 1

Answer:

27

Step-by-step explanation:

3^-9/ 3^-12

Simply change the division into multiplication. The denominator will become numerator. We are doing so because the base are same.

3^-9 * 3^12

Negative sign of power 12 become positive

Add the powers because the base is same.

3^-9+12

3^3

3^3 means multiply 3 three times

3*3*3

=27....

Answer 2

Answer:

3^3 In scientific notation terms

Step-by-step explanation:

First let's look at this in a little more simple way

$\frac{3^{-9}}{3^{-12}}$

there so know we can start,

First since the main number is 3, put that away to the side for now:

3<----------     $\frac{-9}{-12}$

Then, we need to replace the / symbol or the fraction with a subtraction equation:

$^{-9-(-12)}$

Next, we need to simplify:

$^{-9 + 12}$

Then, simplify some more and you should get:

$^{3}$

Finally, get back the original 3 and combine it with the smaller 3:

$3^{3}$

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