Question Video: Rewriting Algebraic Expressions with Negative and Fractional Exponents Mathematics

Video Transcript

Express 15𝑥 to the negative six nineteenths in the form of 𝑎 divided by the 𝑚th root of 𝑏𝑥 to the 𝑛 power.

Since 𝑥 is to a negative power, we can move that down to the denominator and that power would become a positive power. So now we have 15 divided by 𝑥 to the six nineteenths, and we can rewrite that denominator.

Using the rule below, we get that our final answer would be 15 divided by the 19th root of 𝑥 to the six.