Question

{(1/10)³×(1/30)}÷4³​

Answer 1

Answer:

The answer is in the pic...

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:

$\bold{\red{ { [(\frac{1}{10} )}^{3} \times (\frac{1}{30} )] \div {4}^{3}}}$

$\bold{= > \frac{1}{ {10}^{3} } \times \frac{1}{30} \div {4}^{3}}$

$\bold{ = > \frac{ \frac{1}{ {10}^{3} } }{ {4}^{3} } \times \frac{1}{30}}$

$\bold{= > ( { \frac{ \frac{1}{10} }{4}) }^{3} \times \frac{1}{30}}$

$\bold{= > ( { \frac{1}{40} )}^{3} \times \frac{1}{30}}$

$\bold{= > \frac{1}{30 \times 40 \times 40 \times 40} = \frac{1}{30 \times 64000}}$

$\bold{= \frac{1}{1920000} = \frac{1}{192 \times {10}^{4} }}$

Rules :

• In division if base (value)is same of different power then their power gets subtracted.
• In multiplication if base (value )is same of different power then the power of both value gets added.
• If two values is in fraction and having same power then it can also be written as whole power.