Question

1. fully simplify using only positive exponents.

$\frac{27x^{7}y^{7}}{9x^{7}y^{7}}$

Explanation:

Step1: Divide the coefficients

$\frac{27}{9}=3$

Step2: Use the quotient - rule of exponents for $x$ terms

$\frac{x^{7}}{x^{7}}=x^{7 - 7}=x^{0}=1$

Step3: Use the quotient - rule of exponents for $y$ terms

$\frac{y^{7}}{y^{7}}=y^{7 - 7}=y^{0}=1$

Step4: Multiply the results

$3\times1\times1 = 3$

Answer:

3