Question

exponents and power????????????????????​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$\sf\red{1]{( {100}^{ - 2} - {10}^{ - 2} ) \times ( \frac{ {100}^{ - 2} }{ {10}^{ - 2} } + {(1000)}^{ - 1} )}}$

$\implies$$\sf{( \frac{1}{ {100}^{2} } - \frac{1}{ {10}^{2} } ) \times ( \frac{ {10}^{2} }{ {100}^{2} } + \frac{1}{1000} )}$

$\implies$$\sf{( \frac{1}{10000} - \frac{1}{100} ) \times ( \frac{100}{10000} + \frac{1}{1000}) }$

$\implies$$\sf{( \frac{100 - 10000}{10000} )( \frac{100 + 10}{10000} )}$

$\implies$$\sf{ \frac{ - 9900}{10000} \times \frac{110}{10000} }$

$\implies$$\sf{- \frac{1089}{100000} }$

$\implies$$\sf{- 1.089 \times {10}^{ - 2}}$

$\sf\red{2] {( {( \frac{ - 1}{10} )}^{ - 2} )}^{ - 3} \times { ({( \frac{1}{10} )}^{ - 1}) }^{ - 4} \times {( {( \frac{1}{10}) }^{0} )}^{ - 2} }$

$\implies$$\sf{ {( \frac{ - 1}{10} )}^{ - 2 \times - 3} \times {( \frac{1}{10}) }^{ - 1 \times 4} \times {(1)}^{ - 2} }$

$\implies$$\sf{ {( \frac{ - 1}{10} )}^{6} \times {( \frac{1}{10} )}^{ - 4} \times 1}$

$\implies$$\sf{\frac{1}{ {10}^{6} } \times \frac{1}{ {10}^{ - 4} } }$

$\implies$$\sf{{ 10 }^{ - 6 + 4} }$

$\implies$$\sf{ {10}^{ - 2} }$

$\implies$$\sf{\frac{1}{{10}^{2}}}$

$\implies$$\sf{\frac{1}{100}}$