Respuesta :

1. Change both numbers to common base.

2. Use quotient rule [tex]a^x \div a^y = a^{x-y}[/tex]

e)

You can write 9 as 3², then both numbers have the same base.

[tex]9^x = (3^2)^x = 3^{2x}[/tex], where x is the exponent

I cannot really see the exponents because picture is bad quality.

[tex]9^x \div 3^y =[/tex]

[tex]= (3^2)^x \div 3^y =[/tex]

[tex]=3^{2x} \div 3^y =[/tex]

[tex]= 3^{2x-y}[/tex]

You want to replace x and y with actual numbers, but as I said the picture is too bad.

f)

Convert to base 4, then quotient rule.

g)

Use the quotient rule, you already have same base.

h)

Convert to base [tex]\frac{2}{3}[/tex], then quotient rule.