Answer:
4. [tex]45n^2p^3[/tex]
5. [tex]s^{15}[/tex]
9. [tex]\frac{1}{a^5}[/tex] or [tex]a^{-5}[/tex]
10. [tex]\frac{x}{y}[/tex]
Step-by-step explanation:
4. Applying multiplication rule of Laws of Exponents:
[tex]a^{x} * a^{y} = a^{X+Y}[/tex]
[tex](9)(5) = 45\\n^{(-1+3)} = n^2\\p^{(-2+5)} = p^3\\45n^2p^3[/tex]
5. Applying same rule in number 4
[tex]a^{x} * a^{y} = a^{X+Y}[/tex]
[tex]s^{8+7} =s^{15}[/tex]
9. Applying Division rule of Laws of Exponents:
[tex]\frac{a^{X} }{a^{y} } = a^{x-y}\\\\a^{3-8} = a^-5[/tex] can be also expressed as [tex]\frac{1}{a^{5} }[/tex]
10. Applying same rule in number 9
[tex]\frac{a^{X} }{a^{y} } = a^{x-y}\\[/tex]
[tex]x^{2-1} y^{1-2} \\x^{1} y^{-1} \\[/tex]can also be expresses as [tex]\frac{x}{y}[/tex]
