Complete the work to simplify the expression (–2d5)4.   1. express 4 factors of –2d5:      (–2d5)(–2d5)(–2d5)(–2d5) 2. expand the expression:        –2 ∙ –2 ∙ –2 ∙ –2 ∙ d5∙ d5∙ d5∙ d5 3. simplify to the exponential form:    (–2)4∙ (d5)4 4. evaluate the base 2 power:      16 ∙ (d5)4 5. apply the power of a power:      16dx what is the value of x in the simplified power?

The value of x is 20.

Step-by-step explanation:

since on expanding the expression we are given the following steps.

we just need to find the value of 'x'.

step 1:   Express 4 factors of as 

step 2:     Expand the expression: –2 ×–2 ×–2 ×–2×d^5×d^5×d^5×d^5

step 3:       Simplify to the exponential form:  (–2)^4∙ (d^5)^4

step 4:        Evaluate the base 2 power:   16 ∙ (d^5)^4 ( as   -2×-2×-2×-2=16)

step 5:        Apply the power of a power: 16d^20  ( As

       Hence the value of x is: 20.

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