\sqrt(9)/(x-4)

Question

`\sqrt(9)/(x-4)`

Answer 1

For this case we have that by definition of properties of powers and roots, it is fulfilled that:

\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

n

a

m

=a

n

m

So:

\sqrt [4] {9 ^ {\frac {1} {2} x}} = 9 ^ {\frac {\frac {1} {2}} {4} x} = 9 ^ {\frac {1} {8} x}

4

9

2

1

x

=9

4

2

1

x

=9

8

1

x

So, we have to:

\sqrt [4] {9 ^ {\frac {1} {2} x}} = 9 ^ {\frac {1} {8} x}

4

9

2

1

x

=9

8

1

x

Answer:

9 ^ {\frac {1} {8} x}9

8

1

x

Option B

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