AnswersAlgebra IZero and Negative Exponents — QuizQuestion 3
3
QuizMultiple Choice

Zero and Negative Exponents — Quiz

Question 3 • Algebra I

Ramesh examined the pattern in the table. Powers of 7 Value 7 to the 4th power 2 comma 401 7 cubed 343 7 squared 49 7 to the 1th power 7 7 to the 0 power 1 7 inverse 1 seventh Ramesh says that based on the pattern 7 to the negative 5 power is equal to negative 16 comma 807 Which statement explains whether Ramesh is correct?

Answer
A
Ramesh is correct because 7 to the negative 5 power is equivalent to negative 7 times negative 7 times negative 7 times negative 7 times negative 7 , which has the same value as negative 16 comma 807 .
B
Ramesh is not correct because 7 to the negative 5 power is equivalent to the fraction with numerator 1 and denominator 7 to the 5th power , which has the same value as the fraction with numerator 1 and denominator 7 to the 4th power divided by 7 is equal to the fraction with numerator 1 and denominator 7 cubed is equal to 1 over 343 .
C
Ramesh is correct because as the exponents decrease, the previous value is divided by 7 , so 7 to the negative 5 power is equal to 1 divided by 7 divided by 7 divided by 7 divided by 7 divided by 7 is equal to negative 16 comma 807 .
D
Ramesh is not correct because as the exponents decrease, the previous value is divided by 7 , so 7 to the negative 5 power is equal to 1 divided by 7 divided by 7 divided by 7 divided by 7 divided by 7 is equal to the fraction with numerator 1 and denominator 16 comma 807 .

Explanation

Each time the exponent decreases by 1, the value is divided by 7. Starting with 7⁰ = 1, this gives 7⁻⁵ = 1 ÷ 7 ÷ 7 ÷ 7 ÷ 7 ÷ 7 = 1/16,807. The result is positive, not negative, so Ramesh is not correct. Choice B gives the correct value.

AI-written and checked against the verified answer.

Previous
Next

More from this Course

Quiz
20 verified answers

Quiz

Quiz
10 verified answers

Quiz

Quiz
10 verified answers

Quiz