16
QuizMultiple Choice

Mathematical Modeling: Part Two — Test

Question 16 • Mathematics III

Which is an equivalent form of the expression 1800 times 1 point 2 raised to the negative t power ?

Answer
A
1800 times open paren 2 over 1 close paren to the t th power
B
1800 times 6 fifths to the t th power
C
1800 times 1 half to the t th power
D
1800 times 5 sixths to the t th power

Explanation

Since 1.2 = 6/5, the expression is 1800(6/5)^(−t). Using the negative-exponent rule, (6/5)^(−t) = (5/6)^t, so the equivalent form is 1800 times 5/6 raised to the t-th power.

AI-written and checked against the verified answer.

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