3
QuizMultiple Choice

Rewriting Exponential Functions — Quiz

Question 3 • Mathematics III

Consider the expression 1 point 1 times 1 point 3 raised to the x plus 4 power Which of the following is an equivalent expression?

Answer
A
the fraction with numerator 1 point 1 times 1 point 3 to the x th power and denominator 1 point 3 to the 4th power
B
1 point 1 times 1 point 3 raised to the 4 x power
C
1 point 1 1 point 3 to the 4th power 1 point 3 to the x th power
D
1 point 1 times 1 point 3 raised to the x over 4 power

Explanation

Use the exponent rule a^(m+n) = a^m · a^n. Thus, 1.1 · 1.3^(x+4) = 1.1 · 1.3^x · 1.3^4, which matches the expression in choice C.

AI-written and checked against the verified answer.

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