Question

What is 3 to the negative 8th power divided by 3 to the negative 4th power

Answer 1

Answer = 3⁻⁴ = (1/3⁴) = (1/81)

The answer is 3 raised to the power of negative 4 or 3 to the negative 4th power.

Step-by-step explanation

The law of indices is usually applied when questions that involve same numbers with (different or the same) powers are considered.

When a number carrying a particular power is divided by the same number also carrying another power, the result is that same number raised to the power of the difference between the power of the numerator and the power of the denominator.

It'll be clearer in practice now.

`(3^(-8))/(3^(-4))=3^{-8\text{ - (-4)}}=3^(-8+4)=3^(-4)`

Hence, the answer is 3 raised to the power of negative 4 or 3 to the negative 4th power.

Hope this Helps!!!