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Q: An expression written with an exponent?

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Power

An expression is non polynomial if it has : negative exponent fractional exponent variable exponent in the radicand

Exponent

What is the value of the exponent in the scientific notation expression for 0.0000083?

Not necessarily. If the exponent is not an integer then it is not a polynomial.

An exponent is any number denoted in the following manner. 2x where x is an exponent.

The exponent is 1, the coefficient is -5.

Not necessarily. Every exponent in the exponent must be a non-negative integer. This is not what you have specified. For example, if n = 3.5, it is not a term in a polynomial expression.

The exponent would be 10.

No.

No, it is an expression, not an equation.

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