milliejtrosper milliejtrosper
  • 29-04-2019
  • Mathematics
contestada

What is 1/144 as an expression using a negative exponent

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 09-05-2019

ANSWER

[tex] {12}^{ - 2} [/tex]

EXPLANATION

The given expression is

[tex] \frac{1}{144} [/tex]

This is the same as:

[tex] \frac{1}{12 \times 12} [/tex]

In index notation, we write this as

[tex] \frac{1}{ {12}^{2} } [/tex]

To write this as a negative index, we use the property:

[tex] \frac{1}{ {a}^{m} } = {a}^{- m} [/tex]

This implies that;

[tex]\frac{1}{ {12}^{2} } = {12}^{ - 2} [/tex]

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