Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

11. $\frac{x^{28}y^{24}}{x^{15}y^{11}}$

Question

  1. $\frac{x^{28}y^{24}}{x^{15}y^{11}}$

Explanation:

Step1: Apply quotient rule for exponents

For like bases, subtract exponents: $\frac{x^a}{x^b}=x^{a-b}$, $\frac{y^a}{y^b}=y^{a-b}$
$\frac{x^{28}y^{24}}{x^{15}y^{11}} = x^{28-15}y^{24-11}$

Step2: Calculate exponent differences

Compute the subtracted values for each variable
$x^{13}y^{13}$

Answer:

$x^{13}y^{13}$