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To Exponentiate vs Exponentiating Infinitives & Gerunds

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Notes from a Native English Speaker

Infinitives: An infinitive is the base form of a verb, usually preceded by the word "to" (e.g., to swim, to eat, to learn). It can function as a noun, adjective, or adverb in a sentence. Infinitives are often used to express intentions, purposes, desires, or potential actions. Gerunds: A gerund is the -ing form of a verb (e.g., swimming, eating, learning). It’s different from a “present participle” which functions as a verb tense. A gerund can be the subject, object, or complement of a sentence.

When and How to Use Each Expression?

Get a sense of when and how each expression can be used through the following examples!

To exponentiate (Infinitive)

Purpose or Intention: Use the infinitive "to exponentiate" when you want to express a purpose, intention, desire, or potential action

Example

I want to exponentiate the number to calculate its power.

Exponentiating (Gerund)

Activity or Experience: Use the gerund "exponentiating" when you want to refer to the activity itself or the experience as a noun.

Example

Exponentiating can be used to solve exponential equations.

Where can infinitives/gerunds be placed in a sentence?

To exponentiate (Infinitive)

  • 1Subject

    To exponentiate is a mathematical operation.

    To exponentiate is a mathematical operation.

    • "*To exponentiate*" serves as the subject of the sentence.
    • Infinitive phrase (subject) + verb (is) + noun phrase (a mathematical operation).
  • 2Object

    She wants me to exponentiate the equation.

    She wants me to exponentiate the equation.

    • "Me *to exponentiate* the equation" is the object of the verb "wants."
    • Noun (She) + verb (wants) + noun phrase (me *to exponentiate* the equation).
  • 3Adjective Modifier

    I need a calculator to exponentiate large numbers.

    I need a calculator to exponentiate large numbers.

    • "*To exponentiate* large numbers" modifies the noun "calculator."
    • Noun (I) + verb (need) + noun phrase (a calculator *to exponentiate* large numbers).

Exponentiating (Gerund)

  • 1Subject

    Exponentiating is an important concept in mathematics.

    Exponentiating is an important concept in mathematics.

    • "*Exponentiating*" is the subject of the sentence.
    • Gerund (subject) + verb (is) + noun phrase (an important concept in mathematics).
  • 2Object

    I enjoy exponentiating complex numbers.

    I enjoy exponentiating complex numbers.

    • "*Exponentiating* complex numbers" is the object of the verb "enjoy."
    • Noun (I) + verb (enjoy) + gerund (*exponentiating* complex numbers).
  • 3Object of Preposition

    She has a talent for exponentiating difficult expressions.

    She has a talent for exponentiating difficult expressions.

    • "For *exponentiating* difficult expressions" is the object of the preposition "for."
    • Noun phrase (She) + verb (has) + noun phrase (a talent for *exponentiating* difficult expressions).

Verbs Taking Infinitives/Gerunds as Objects

The following are verbs that can take only the base form of the verb (infinitive), only the -ing form (gerund), or both.

Verbs Taking Infinitives as Objects

Example

She plans to exponentiate the data tomorrow.

They hope to exponentiate the variables for accurate results.

He wants to exponentiate the matrix elements.

We decided to exponentiate the function in our analysis.

They agreed to exponentiate the values together.

Verbs Taking Gerunds as Objects

Example

She enjoys exponentiating polynomials to find their roots.

They recommend exponentiating the base to calculate exponential growth.

I dislike the process of exponentiating negative numbers.

He avoids exponentiating large matrices due to computational complexity.

Can you imagine yourself exponentiating logarithmic functions?

Verbs Taking Both Infinitives and Gerunds as Objects

Example

She likes to exponentiate numbers. She likes exponentiating numbers.

We started to exponentiate mathematical expressions. We started exponentiating mathematical expressions.

He began to exponentiate matrices. He began exponentiating matrices.

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