Question

[(1/3)^-3 x (1/2^-3)] / (1/4)^-3

Answer 1

Answer:

27/8

Step-by-step explanation:

we have,

[(1/3)^-3×(1/2^-3)]/(1/4)^-3

= [(3)³×(2)³]/(4)³

= [27×8]/64

= 216/64

= 54/16

= 27/8 ....ans.

Answer 2

$\red {\huge {\underline{ \frak{Your \: answEr : }}}}$

$\orange{\blacksquare ~ \boxed{ \bold{\: {x}^{m} \times {y}^{m} = {(x \times y)}^{m} }}}$

$\orange{\blacksquare ~ \boxed{ \bold{\: {x}^{m} \div {y}^{m} = {(x \div y)}^{m} }}}$

$\huge\rightarrow \tt{ \frac{( \frac{1}{3}) ^{ - 3} \times { (\frac{1}{2} )}^{ - 3} }{ { (\frac{1}{4} )}^{ - 3} } }$

$\huge\rightarrow \tt{ \frac{ (\frac{1}{3} \times \frac{1}{2}) ^{ - 3} }{ { (\frac{1}{4} )}^{ - 3} } }$

$\huge\rightarrow \tt{( \frac{1}{6} \div \frac{1}{4} )^{ - 3} }$

$\huge\rightarrow \tt{( \frac{1}{6} \times \frac{4}{1} )^{ - 3} }$

$\huge\rightarrow \tt{( \frac{2}{3} )^{ - 3} }$

$\huge\rightarrow \tt{( \frac{3}{2} )^{ 3} }$

$\huge\rightarrow \tt{( \frac{3 \times 3 \times 3}{2 \times 2 \times 2} ) }$

$\pink{\huge\rightarrow \boxed{\tt{\frac{27}{8} }}}$

$\huge{\red{\ddot{\smile}}}$