Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Write the expression as a fraction with a positive exponent. \newline1j5\frac{1}{j^5}

Full solution

Q. Write the expression as a fraction with a positive exponent. \newline1j5\frac{1}{j^5}
  1. Understand the problem: Understand the problem.\newlineWe need to convert the expression with a negative exponent into a fraction with a positive exponent.
  2. Apply negative exponent rule: Apply the negative exponent rule.\newlineThe negative exponent rule states that an=1ana^{-n} = \frac{1}{a^n} for any nonzero number aa and any integer nn. We will apply this rule to j5j^{-5}.
  3. Rewrite as fraction: Rewrite the expression as a fraction.\newlineUsing the rule from Step 22, we can write j5j^{-5} as 1j5\frac{1}{j^{5}}.
  4. Check the result: Check the result.\newlineThe expression 1j5\frac{1}{j^5} has a positive exponent, as required. The original expression j5j^{-5} is equivalent to 1j5\frac{1}{j^5}, so there is no math error.

More problems from Simplify exponential expressions using exponent rules