yMoshylBeebunn
Answered

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


49x


A.77^x

B.7 7^2x

C.7^x 7^x

D.(7 7)^x

E.7^2* 7^x

F.7^2x

Verified Answer :

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. \(7^x * 7^x\)

D. \((7* 7)^x\)

F. \(7^{2x}\)

Step-by-step explanation:

Law of exponents :

\(a^m*a^n=a^{m+n}\\(a^m)^n=a^{mn}\)

\(49^x=(7^2)^x=7^{2x}\)

A. \(7*7^x\)

\(=7^{1+x} eq49^x\)

B. \(7 * 7^2x\)

=\(7^{1+2x} eq49^x\)

C. \(7^x * 7^x\)

\(=7^{x+x}=7^{2x}=(7^2)^x=49^x\)

D. \((7* 7)^x\)

\(=(7^2)^x=49^x\)

E. \(7^2* 7^x\)

\(7^{2+x} eq49^x\)

F. \(7^{2x}=(7^2)^x=49^x\)

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