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JcAlmighty
The answers are C, D, and F.

The result is 49ˣ

Let's check all choices:
A. 7 * 7ˣ = 7¹ * 7ˣ = 7¹⁺ˣ
B. 7 * 7²ˣ = 7¹ * 7³ˣ = 7¹⁺²ˣ
C. 7ˣ * 7ˣ = 7ˣ⁺ˣ = 7²ˣ = (7²)ˣ = 49ˣ - CORRECT
D. (7 * 7)ˣ = 49ˣ - CORRECT
E. 7² * 7ˣ = 7²⁺ˣ
F. 7²ˣ = (7²)ˣ = 49ˣ - CORRECT

JeanaShupp

Answer: C. [tex]7^x * 7^x[/tex]

D. [tex](7* 7)^x[/tex]

F. [tex]7^{2x}[/tex]

Step-by-step explanation:

Law of exponents :

[tex]a^m*a^n=a^{m+n}\\(a^m)^n=a^{mn}[/tex]

[tex]49^x=(7^2)^x=7^{2x}[/tex]

A. [tex]7*7^x[/tex]

[tex]=7^{1+x}\neq49^x[/tex]

B. [tex]7 * 7^2x[/tex]

=[tex]7^{1+2x}\neq49^x[/tex]

C. [tex]7^x * 7^x[/tex]

[tex]=7^{x+x}=7^{2x}=(7^2)^x=49^x[/tex]

D. [tex](7* 7)^x[/tex]

[tex]=(7^2)^x=49^x[/tex]

E. [tex]7^2* 7^x[/tex]

[tex]7^{2+x}\neq49^x[/tex]

F. [tex]7^{2x}=(7^2)^x=49^x[/tex]

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