Which of the following has an exponent with negative index?

- 3^{4}

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4^{3}

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\frac{1}{3^{4}}

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- 3

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Solution

The correct option is C $\frac{1}{3^{4}}$
$\frac{1}{3^{4}} = 3^{- 4}$

$∴ \frac{1}{3^{4}}$ has a negative index.
So, option $C$ is correct.

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Similar questions

{(\frac{3}{4})}^{- 2}

{(\frac{5}{4})}^{- 3}

4^{3} \times 4^{- 9}

{\{{(\frac{4}{3})}^{- 3}\}}^{- 4}

{\{{(\frac{3}{2})}^{4}\}}^{- 2}

Simplify and express the result in power notation with positive exponent.

(i) (ii)

(iii) (iv)

(v)

Question 2(iii)
Simplify and express the result in power notation with positive exponent:

$(- 3)^{4} \times {(\frac{5}{3})}^{4}$

Simplify and express the result in power notation with positive exponent.

(- 3)^{4} \times {(\frac{5}{3})}^{4}

(m)^{4}

m = ?

Simplify the following :
$[{(\frac{- 3}{4})}^{3} - {(\frac{- 5}{2})}^{3}] \times {(- \frac{2}{3})}^{4}$ .

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