How many atoms are in carbon 12

6.02x10^23 atoms

Explanation:

From the background knowledge of Avogadro's hypothesis, we understood that 1mole of any substance contains 6.02x10^23 atoms. This implies that 1mole of carbon also contains 6.02x10^23 atoms.

1mole of carbon = 12g.

Therefore, 12g of carbon contains 6.02x10^23 atoms

There are 23 atoms in carbon 12.

3-³ x (1/3)^-5 x (1/3)-²

Applying Indices

3^-3 x (3-¹)^-5 x (3-¹)^-2

When the negative signs interact

they become positive

We now have

3^-3 x 3^5 x 3^2

= 3^-3 x 3^7

=3⁴.