Question

Сократить дробь -(-t)4/(-t)9

Answer 1

$\dfrac{-(-t)^4}{(-t)^9}=\dfrac{-1}{(-t)^5}=\dfrac{-1}{-t^5}=\dfrac{1}{t^5}$

Answer 2

To simplify the given fraction, we can follow these steps:

Step 1: Apply the rule of exponents that states a^m / a^n = a^(m-n). Step 2: When we have a negative exponent, we can move the term to the opposite side of the fraction and change the sign of the exponent. Step 3: Cancel out common factors.

Let's simplify the fraction:

(-(-t)^4) / ((-t)^9)

Step 1: Apply the rule of exponents. (-1)^4 * t^4 / (-1)^9 * t^9

Step 2: Simplify the negative exponents. 1 * t^4 / -1 * t^9

Step 3: Cancel out common factors. t^4 / -t^9

The simplified fraction is: t^4 / -t^9