The multiplicative inverse of 10-4 is-10-210-410-110-3

The correct option is B 10^ 4a^ m is the multiplicative inverse of nbsp;a^m, if a^m× a^ m=1 (law of exponent) Let's assume its multiplicative inverse is: x Us ...

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Standard VII

Mathematics

Powers of Decimals

The multiplic...

Question

The multiplicative inverse of $10^{4}$ is.

10^{- 2}

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10^{- 4}

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10^{- 1}

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10^{- 3}

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Solution

The correct option is B $10^{- 4}$
$a^{- m}$ is the multiplicative inverse of $a^{m}$ , if $a^{m} \times a^{- m} = 1$ (law of exponent)
Let's assume its multiplicative inverse is: $x$
Using above equation,
$10^{4} \times x = 1$
$\Rightarrow x = \frac{1}{10^{4}}$
$\Rightarrow x = 10^{- 4}$

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(4) $\frac{- 8}{3}$
(5) $\frac{- 16}{7}$
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(7) 5
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Q. The multiplicative inverse of

10^{4}

is.

Multiplicative inverse of $10^{- 100}$ is:

Question 104

Find the multiplicative inverse of $(- 7)^{- 2} \div (90)^{- 1}$ .

The multiplicative inverse of $10^{10}$ is

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The multiplicative inverse of 104 is.

The correct option is B 10−4a−m is the multiplicative inverse of am, if am×a−m=1 (law of exponent) Let's assume its multiplicative inverse is: x Using above equation, 104×x=1 ⇒x=1104 ⇒x=10−4

The multiplicative inverse of $10^{4}$ is.

The correct option is B $10^{- 4}$
$a^{- m}$ is the multiplicative inverse of $a^{m}$ , if $a^{m} \times a^{- m} = 1$ (law of exponent)
Let's assume its multiplicative inverse is: $x$
Using above equation,
$10^{4} \times x = 1$
$\Rightarrow x = \frac{1}{10^{4}}$
$\Rightarrow x = 10^{- 4}$