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Approximately how many times greater is 2.3 raised to the power of -4 than 1.15 raised to the power of -8?

a. 115
b. 200
c. 11,500
d. 20,000

1 Answer

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2.3 × 10⁻⁴ is 20,000 greater than 1.15 × 10⁻⁸ . ( option D)

Indices, also known as exponents or powers, are mathematical notations that indicate the number of times a base is multiplied by itself.

2.3 × 10⁻⁴ and 1.15 × 10⁻⁸ are examples of indices where -4 and -8 are the index.

To know how much greater 2.3 × 10⁻⁴ is to 1.15 × 10⁻⁸ we divide 2.3 × 10⁻⁴ by 1.15 × 10⁻⁸

= 2.3 × 10⁻⁴ ÷ 1.15 × 10⁻⁸

= 20000

Therefore, 2.3 × 10⁻⁴ is 20,000 greater than 1.15 × 10⁻⁸ .

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