Answer:
7. 9⁸
8. 5x
9. 5m²n
Step-by-step explanation:
[tex]7.\\9^3\cdot9^5\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=9^{3+5}=9^8\\\\8.\\\dfrac{45x^3y\!\!\!\!\diagup}{9x^2y\!\!\!\!\diagup}\qquad\text{cancel}\ y\\\\=\dfrac{45x^3}{9x^2}=\dfrac{45}{9}\cdot\dfrac{x^3}{x^2}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=5x^{3-2}=5x^2=5x\\\\9.\\\dfrac{15m^3n^2}{3mn}=\dfrac{15}{3}\cdot\dfrac{m^3}{m}\cdot\dfrac{n^2}{n}=5m^{3-1}n^{2-1}=5m^2n^1=5m^2n[/tex]
