Question

Which expressions are equivalent to the one below? Check all that apply. 36x/6x

Answer 1

For this case we must indicate expressions equivalent to:

$\frac {36 ^ x} {6 ^ x}$

We have to:

$36 ^ x = (6 ^ 2) ^ x = 6 ^ {2x}$

Rewriting the expression:

$\frac {6 ^ {2x}} {6 ^ x}$

To divide powers of the same base, we place the same base and subtract the exponents:

$6 ^ {2x-x} = 6 ^ x$

The options are:

A) $\frac {6 ^ {x} * 6 ^{ x}} {6^{x}}$

B) 6

C) $(\frac {36} {6}) ^ x$

D) $(36-6) ^ x$

E) $6 ^ x$

F) $36 ^ x$

So if we simplify option A) we have: $6 ^ x$

Option C) we have: $6 ^ x$

Option E) is $6 ^ x$

Answer:

Option A, C, E