Problem

Write in exponential notation. \[ \left(\frac{1}{8}\right)\left(\frac{1}{8}\right)\left(\frac{1}{8}\right)\left(\frac{1}{8}\right)\left(\frac{1}{8}\right)\left(\frac{1}{8}\right) \] \[ \left(\frac{1}{8}\right)\left(\frac{1}{8}\right)\left(\frac{1}{8}\right)\left(\frac{1}{8}\right)\left(\frac{1}{8}\right)\left(\frac{1}{8}\right)= \] (Type your answer using exponential notation. Use integers or fractions for any numbers in the expression.)

Solution

Step 1 :The question is asking to write the given expression in exponential notation. The expression is a product of six identical factors, each of which is 1/8.

Step 2 :In exponential notation, this can be written as \((1/8)^6\).

Step 3 :The base is 0.125 and the exponent is 6.

Step 4 :The result of the calculation is a very small number, which is expected because we are raising a fraction to a power. This confirms that the exponential notation \((1/8)^6\) is correct.

Step 5 :Final Answer: \(\boxed{(1/8)^6}\)

From Solvely APP
Source: https://solvelyapp.com/problems/XQgg3PHO3F/

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