Do you mean a⁻¹ * b⁻¹ = 1/ab?
If does so. YES
Remember:
a⁻¹ = 1/a¹
When the bases are different and the exponents of a and b are the same, we can multiply a and b first:
a⁻¹ * b⁻¹ = (a * b)⁻¹
Example:
3⁻² * 4⁻² = (3 * 4)⁻² = 12⁻² = 1/12² = 1/(12 * 12) = 1/144 = 0.0069444
If the bases and exponents are the same.
We can add exponents first and multiply the bases
Example:
2⁻² * 2⁻² = 4⁻² = 1/4² = 1/16 = 0.0625
If the bases are the same and exponents are not. We simply copy the bases and add the exponents
Example:
2⁻² * 2⁻³ = 2⁻² ⁺ ⁻³ = 2⁻⁵ = 1/2⁵ = 1/32 = 0.03125
And when both base and exponents are different. We should calculate the value of each bases with their exponents and then multiply
Example:
2⁻² * 3⁻³ = 1/2² * 1/3³ = 1/4 * 1/27 = 1/108 = 0.0925925925925...
I hope it helps
