Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

evaluate. $10^{-4}$

Question

evaluate.
$10^{-4}$

Explanation:

Step1: Apply negative exponent rule

For any non-zero number $a$ and integer $n$, $a^{-n} = \frac{1}{a^n}$. So,
$10^{-4} = \frac{1}{10^4}$

Step2: Calculate denominator value

$10^4 = 10 \times 10 \times 10 \times 10 = 10000$

Step3: Simplify the fraction

$\frac{1}{10000} = 0.0001$

Answer:

$0.0001$ (or $\frac{1}{10000}$)