Question

Which expressions are equivalent to the one below? Check all that apply. 9x

Answer 1

Answer:

C.),F.),andD.) Are correct

Step-by-step explanation:

Answer 2

Answer:

Option: C, D and F are the correct options.

C.   $(\dfrac{36}{4})^x$

D.   $9\cdot 9^{x-1}$

F.  $\dfrac{36^x}{4^x}$

Step-by-step explanation:

We are asked to find the expression which is equivalent to:

                                        $9^x$

C)

 $(\dfrac{36}{4})^x$

We know that:

$(\dfrac{36}{4})^x=9^x$

Since, 36/4=9

Hence, option: C is correct.

D)

$9\cdot 9^{x-1}=9^{1+x-1}$

Since,

$a^m\cdot a^n=a^{m+n}$

Hence,

$9\cdot 9^{x-1}=9^x$

Hence, option: D is correct.

F)

$\dfrac{36^x}{4^x}$

We know that:

$\dfrac{36^x}{4^x}=(\dfrac{36}{4})^x$

Since, we know that:

$\dfrac{a^n}{b^n}=(\dfrac{a}{b})^n$

Hence, we have:

$\dfrac{36^x}{4^x}=9^x$

Since, 36/4=9

Hence, option: F is the correct answer.