Video Transcript
Simplify 𝑥 to the power of negative six divided by 𝑥 to the power of negative four, given that 𝑥 is not equal to zero.
In order to answer this question, we need to consider one of the laws of indices: 𝑥 to the power of 𝑎 divided by 𝑥 to the power of 𝑏 is equal to 𝑥 to the power of 𝑎 minus 𝑏. This means that if we are dividing two terms with the same base, we can subtract the exponents or indices.
In this case, we need to subtract negative four from negative six. Subtracting negative four from negative six is the same as adding four to negative six. This is equal to negative two. Therefore, we can say that 𝑥 to the power of negative six divided by 𝑥 to the power of negative four is equal to 𝑥 to the power of negative two.
