Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

rewrite \\(\\frac{1}{10,000,000}\\) as a power of 10.

Question

rewrite
\\(\frac{1}{10,000,000}\\)
as a power of 10.

Explanation:

Step1: Recall negative exponent rule

The rule is $ \frac{1}{10^n} = 10^{-n} $.

Step2: Express denominator as power of 10

We know that $ 10,000,000 = 10^7 $, so $ \frac{1}{10,000,000} = \frac{1}{10^7} $.

Step3: Apply negative exponent rule

Using $ \frac{1}{10^n} = 10^{-n} $, we get $ \frac{1}{10^7} = 10^{-7} $.

Answer:

$10^{-7}$