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which of the following is equivalent to 1/2^-3? a) -8 b) -1/8 c) 1/8 d) 8

Sagot :

Answer:

d) 8

first step : Start with the expression: 1 divided by 2 raised to the power of negative 3.

second step: Recall that a negative exponent means taking the reciprocal of the base raised to the corresponding positive exponent. So, 2 raised to the power of negative 3 is equal to 1 divided by 2 raised to the power of 3.

third step : Substitute this into the original expression: 1 divided by (1 divided by 2 raised to the power of 3).

4th :Simplify the complex fraction by multiplying the numerator by the reciprocal of the denominator: 1 times 2 raised to the power of 3.

5th :Calculate 2 raised to the power of 3, which is 8.

Therefore, the expression 1 divided by 2 raised to the power of negative 3 simplifies to 8.

The correct answer is: d) 8

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