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Pls help me to find the answer e,f,g,h no. only

Pls help me to find the answer e,f,g,h no. only-example-1

1 Answer

7 votes

1. Change both numbers to common base.

2. Use quotient rule
a^x / a^y = a^(x-y)

e)

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


9^x = (3^2)^x = 3^(2x), where x is the exponent

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


9^x / 3^y =


= (3^2)^x / 3^y =


=3^(2x) / 3^y =


= 3^(2x-y)

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
(2)/(3), then quotient rule.

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