Question

5^3*5^x which expressions are equivalent to the one below? check all that apply. A). 5^3x B). 125*5^x C). 25^3x D). 5^3+x E). (5*x)^3 F). 5^3-x

Answer 1

Answer:

C is correct.

Step-by-step explanation:

25^3x is the only correct answer I see here.

You multiply the 5 by 5 to get 25 and put 3 and x together as the exponent. I apologize if there is another correct answer I just am not seeing.

Answer 2

Answer:

Option D - $5^3\times 5^x=5^{3+x}$

Step-by-step explanation:

Given : Expression $5^3\times 5^x$

To find : Which expression is equivalent to given expression?

Solution :

The given expression is $5^3\times 5^x$

As we see the bases are same i.e. 5.

Applying property that if in multiplication bases are same then powers get added $x^a\times x^b=x^{a+b}$

$=5^3\times 5^x$

$=5^{3+x}$

Therefore, Option D is correct.

The required equivalent form is $5^3\times 5^x=5^{3+x}$