7
QuizMultiple Choice

Zero and Negative Exponents — Quiz

Question 7 • Algebra I

Simone examined the pattern in the table. Powers of 10 Value 10 to the 1th power 10 10 to the 0 power 1 10 inverse 1 tenth 10 to the negative 2 power 1 over 100 10 to the negative 3 power 1 over 1000 10 to the negative 4 power the fraction with numerator 1 and denominator 10 comma 000 Based on the pattern, which power of 10 would have a value of the fraction with numerator 1 and denominator 1 comma 000 comma 000 ?

Answer
A
10 to the 5th power
B
10 to the negative 5 power
C
10 to the negative 6 power
D
10 to the 6th power

Explanation

Each step down in the exponent divides the value by 10: 10⁻¹ = 1/10, 10⁻² = 1/100, and so on. Since 1,000,000 = 10⁶, its reciprocal is 1/1,000,000 = 10⁻⁶. The correct choice is 10 to the negative 6th power.

AI-written and checked against the verified answer.

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