Question

Ik a) but I need help with b)

Answer 1

Answer:

${ \rm{ {( \frac{1}{ \sqrt{3} }) }^{7} }}$

• First rationalise the denominator:

$= { \rm{ {( \frac{1 \times \sqrt{3} }{ \sqrt{3} \times \sqrt{3} }) }^{7} }} \\ \\ = { \rm{ {( \frac{ \sqrt{3} }{3}) }^{7} }}$

• Open the bracket, by distributing the power to both the numerator and denominator:

$= { \rm{ \frac{( \sqrt{3} ) {}^{6} \times \sqrt{3} }{ {3}^{7} } }} \\ \\ = { \rm{ \frac{27 \sqrt{3} }{2187} }} \\ \\ = { \rm{ \frac{ \sqrt{3} }{81} }}$

b is 3 and c is 81