Tag: powers

Questions Related to powers

1 m is equal to

physics dynamics - explaining motion exponentiation index notation and products of prime factors powers

  1. $\displaystyle { 10 }^{ -6 }$ micron

  2. $\displaystyle { 10 }^{ 6 }$ micron

  3. $\displaystyle { 10 }^{ -3 }$ micron

  4. $\displaystyle { 10 }^{ 3 }$ micron

Show answer
Correct Option: B
Explanation:
$1 \ m = 10^6 \ \mu m$
$1 \ m$ is equal to $10^6$ micron.

One micron is equal to 

physics dynamics - explaining motion exponentiation index notation and products of prime factors powers

  1. $10^6 m$

  2. $10^3 m$

  3. $10^{-6} m$

  4. $10^{-3} m$

Show answer
Correct Option: C
Explanation:

One micron is equal to $10^{-6} m $. It is used for measuring micro level things. 

1 attometer is ___ nanometer.

physics dynamics - explaining motion exponentiation index notation and products of prime factors powers

  1. $10^{-9}$

  2. $10^{-8}$

  3. $10^{-7}$

  4. $10^{9}$

Show answer
Correct Option: A
Explanation:

$1$ nanometer $=10^{-9}$ meter and $1$ attometer $=10^{-18}$ meter

So, $1$ attometer $=10^{-9}\times 10^{-9}$ meter $=10^{-9}$ nanometer

1 micro ___ decameter.

physics dynamics - explaining motion exponentiation index notation and products of prime factors powers

  1. $10^{-6}$

  2. $10^{-7}$

  3. $10^{-9}$

  4. $10^{-8}$

Show answer
Correct Option: B
Explanation:

$1$ micrometer $=10^{-6}$ meter and $1$ decameter $=10$ meter

So, $1$ micrometer $=\dfrac{10^{-6}}{10}\times 10$ meter $=\dfrac{10^{-6}}{10}$ decameter $=10^{-7}$ decameter

1 picometer is ___  centimeter.

physics dynamics - explaining motion exponentiation index notation and products of prime factors powers

  1. $10^{-8}$

  2. $10^{-9}$

  3. $10^{-10}$

  4. $10^{10}$

Show answer
Correct Option: C
Explanation:

$1$ picometer $=10^{-12}$ meter and $1$ centimeter $=10^{-2}$ meter

So, $1$ picometer $=10^{-10}\times 10^{-2}$ meter $=10^{-10}$ centimeter

1 millimeter ___ picometer.

physics dynamics - explaining motion exponentiation index notation and products of prime factors powers

  1. $10^{9}$

  2. $10^{-9}$

  3. $10^{8}$

  4. $10^{10}$

Show answer
Correct Option: A
Explanation:

$1$ picometer $=10^{-12}$ meter and $1$ milimeter $=10^{-3}$ meter

So, $1$ picometer $=10^{-9}\times 10^{-3}$ meter $=10^{-9}$ milimeter
So, $1$ milimeter $=10^9$ picometer

1 decimeter is ___ megameter.

physics dynamics - explaining motion exponentiation index notation and products of prime factors powers

  1. $10^{-7}$

  2. $10^{-6}$

  3. $10^{-5}$

  4. $10^{-8}$

Show answer
Correct Option: A
Explanation:

$1$ decimeter $=10^{-1}$ meter and $1$ megameter $=10^{6}$ meter

So, $1$ decimeter $=10^{-1}\times \dfrac{10^6}{10^6}$ meter $=\dfrac{10^{-1}}{10^6} $ megameter $=10^{-7}$ megameter

1 micrometer is ____ kilometer.

physics dynamics - explaining motion exponentiation index notation and products of prime factors powers

  1. $10^{-9}$

  2. $10^{-8}$

  3. $10^{-10}$

  4. $10^{8}$

Show answer
Correct Option: A
Explanation:

$1$ micrometer $=10^{-6}$ meter and $1$ kilometer $=10^{3}$ meter

So, $1$ micrometer $=10^{-6}\times \dfrac{10^3}{10^3}$ meter $=\dfrac{10^{-6}}{10^3}\times 1$ kilometer $=10^{-9}$ kilometer

1 kilometer is ____ decimeter.

physics dynamics - explaining motion exponentiation index notation and products of prime factors powers

  1. $10^{4}$

  2. $10^{5}$

  3. $10^{3}$

  4. $10^{6}$

Show answer
Correct Option: A
Explanation:

$1$ kilometer $=10^3$ meter and $1$ decimeter $=10^{-1}$ meter

So, $10$ decimeter $=1$ meter
Thus, $10^3 $ meter $=10^3\times 10$ decimeter $=10^4$ decimeter
or, $1$ kilometer $=10^4$ decimeter

1 nanometer is ___ femtometer.

physics dynamics - explaining motion exponentiation index notation and products of prime factors powers

  1. $10^{5}$

  2. $10^{6}$

  3. $10^{7}$

  4. $10^{4}$

Show answer
Correct Option: B
Explanation:

$1$ nanometer $=10^{-9}$ meter and $1$ femtometer $=10^{-15}$ meter

So, $1$ femtometer $=10^{-6}\times 10^{-9}$ meter $=10^{-6}$ nanometer
So, $1$ namometer $=10^6$ femtometer