The multiplicative inverse of $13^{- 4}$ is

- 13^{4}

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- 13^{- 4}

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13^{4}

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\frac{1}{13^{4}}

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Solution

The correct option is B $13^{4}$
$13^{- 4} = \frac{1}{13^{4}}$ as per the law of reciprocal.
Hence, its multiplicative inverse will be $13^{4}$ , since $13^{- 4} \times 13^{4} = 1$ .
So, option C is correct.

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Similar questions

Question 180(iii)

Simplify

${(\frac{4}{13})}^{4} \times {(\frac{13}{7})}^{2} \times {(\frac{7}{4})}^{3}$

Q. Fill in the blanks.

(i)

(. . . . . .) \div (\frac{- 7}{5}) = \frac{- 2}{3}

(ii)

(\frac{- 65}{14}) \div (. . . . . .) = 2 \frac{1}{2}

(iii)

(\frac{- 3}{8}) + (. . . . . .) = \frac{5}{12}

(iv) Multiplicative inverse of

- 1 \frac{3}{4}

is ...... .

Write the multiplicative inverse of the following:

(1) $\frac{13}{4}$
(2) $\frac{4}{13}$
(3) $\frac{- 3}{8}$
(4) $\frac{- 8}{3}$
(5) $\frac{- 16}{7}$
(6) $\frac{7}{6}$
(7) 5
(8) −2
(9) 1
(10) 11

Question 180(iii)

Simplify

${(\frac{4}{13})}^{4} \times {(\frac{13}{7})}^{2} \times {(\frac{7}{4})}^{3}$

The infinite sum $\frac{5}{13} + \frac{55}{13^{2}} + \frac{555}{13^{3}} + \frac{5555}{13^{4}} + . . . . .$ equals

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The multiplicative inverse of 13−4 is

The correct option is B 13413−4=1134 as per the law of reciprocal.Hence, its multiplicative inverse will be 134, since 13−4×134=1.So, option C is correct.

The multiplicative inverse of $13^{- 4}$ is

The correct option is B $13^{4}$
$13^{- 4} = \frac{1}{13^{4}}$ as per the law of reciprocal.
Hence, its multiplicative inverse will be $13^{4}$ , since $13^{- 4} \times 13^{4} = 1$ .
So, option C is correct.