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.