When expanded- the number of zeroes in 1000-10 is -3041310

The correct option is A 30The number of zeroes in 10^n is n. 1000 = 10^3 ∴1000 ^ 10 = (10^3)^10 = nbsp; 10^3 × 10 = 10 ^ 30 Thus, 1000^10 has 30 zeroes. ...

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Standard IX

Mathematics

Laws of Exponents

When expanded...

Question

When expanded, the number of zeroes in $1000^{10}$ is ______.

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Solution

The correct option is B 30
The number of zeroes in $10^{n}$ is $n$ .
$1000 = 10^{3}$
$∴ 1000^{10} = {(10^{3})}^{10}$
$= 10^{3 \times 10}$
$= 10^{30}$

Thus, $1000^{10}$ has 30 zeroes.

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When expanded, the number of zeroes in 100010 is ______.

The correct option is B 30The number of zeroes in 10n is n. 1000=103 ∴100010=(103)10 =103×10 =1030 Thus, 100010 has 30 zeroes.

When expanded, the number of zeroes in $1000^{10}$ is ______.

The correct option is B 30
The number of zeroes in $10^{n}$ is $n$ .
$1000 = 10^{3}$
$∴ 1000^{10} = {(10^{3})}^{10}$
$= 10^{3 \times 10}$
$= 10^{30}$

Thus, $1000^{10}$ has 30 zeroes.