Question

Anja simplified the expression StartFraction 10 x Superscript negative 5 Baseline Over Negative 5 x Superscript 10 Baseline EndFraction to StartFraction 15 Over x Superscript 15 Baseline EndFraction. What mistake did Anja make?

Answer 1

Answer:

She subtracted the coefficients instead of dividing them

Step-by-step explanation:

Answer 2

Answer:

Anja's mistakes is solving coefficients, she must divide.

Step-by-step explanation:

The given expression is

$\frac{10x^{-5} }{-5x^{10} }$

Anja simplfied to

$\frac{15}{x^{15} }$

Anja did well powers, however, she did wrong coefficients, instead of dividing them, she subtracted them as she did with powers.

Therefore, Anja's mistakes is solving coefficients, she must divide.

$\frac{10x^{-5} }{-5x^{10} }=-\frac{2}{x^{15} }$