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Step-by-step explanation:

Given binomial is: [tex] 8x^4 - 2x[/tex]

[tex]in \: the \: term \: 8 {x}^{4} \\ coefficient = 8 \\ exponent = 4 \\ \\ in \: the \: term \: - 2x \\ coefficient = - 2 \\ exponent = 1[/tex]

The coefficient of the term 8x^4 is 8 and the exponent is 4

The coefficient of the term -2x is -2 and the exponent is 1

Given the standard form of an exponential function expressed as:

[tex]y = ab^x[/tex]

From the expression

a is the coefficient

x is the exponent

b is the variable

Given the expression [tex]8x^4-2x[/tex], we are to find the coefficient and the exponent for each term

For the term, [tex]8x^4[/tex], compared with the general equations;

[tex]ab^x = 8x^4[/tex]

a = 8

x = 4

This shows that the coefficient of the term is 8 and the exponent is 4

Similarly for the second term -2x

[tex]ab^x =-2x^1[/tex]

a = -2

x = 1

Hence the coefficient of the term is -2 and the exponent is 1

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