Mathematics: 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?

Complete the work to simplify the expression (–2d5)4.

igobeastmode

10.03.2022

The value of x is 20.

Step-by-step explanation:

since on expanding the expression (-2d^5)^4 we are given the following steps.

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

step 1: Express 4 factors of (-2d^5)^4 as $(-2d^5)\times(-2d^5)\times(-2d^5)\times(-2d^5)$

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 $(a^b)^c=(a)^{bc}$

Hence the value of x is: 20.

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