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Which expression are equivalent to the one below? Check all that apply. 5^4*5^x Answer choices: A) 25^4x
B) 5^4x
C)5^4+x
D)(5•x)^4
E)5^4-x
F)625•5^x

Respuesta :

F and C should be the answers
SociometricStar

Answer:

[tex]5^{4+x}[/tex]

[tex]625\cdot5^x[/tex]

Step-by-step explanation:

The given expression is [tex]5^4\cdot5^x[/tex]

We can use product rule of exponent to simplify this expression.

Product rule of exponent: If we multiply two exponents having same bases then we add the exponents keeping the base same.

Mathematically, we have

[tex]x^m\cdot x^n=x^{m+n}[/tex]

Applying this rule, we get

[tex]5^4\cdot5^x=5^{4+x}[/tex]

5^4 can be written as 625. Hence, the expression becomes

[tex]5^4\cdot5^x=625\cdot5^x[/tex]

Thus, C and F are correct options.

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