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Write using exponential notation (-1/6)(1/6)(1/6)(1/6) =

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Final answer:

To write (-1/6)(1/6)(1/6)(1/6) in exponential notation, multiply the fractions together and the result is 1/1296 or 1.29 × 10-3.

Step-by-step explanation:

To write (-1/6)(1/6)(1/6)(1/6) in exponential notation, we need to multiply the fractions together. The exponent for each fraction will be the sum of the exponents.

In this case, the exponents are all -1, so the final exponent will be (-1) + (-1) + (-1) + (-1) = -4.

The base will be the product of the numerators, which is 1, and the denominator will be 6 raised to the power of 4, which is 1296.

So, (-1/6)(1/6)(1/6)(1/6) can be written as 1/1296 or 1.29 × 10-3.

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