Which procedure justifies whether \( -3 x(5-4)+3(x-6) \) is equivalent to \( -12 x-6 \) ? The expressions are not equivalent because \( -3(2)(5-4)+3(2-6)=-18 \) and \( -12(2)-6=-30 \). The expressions are not equivalent because \( -3(2)(5-4)+3(2-6)=-18 \) and \( -12(3)-6=-42 \). The expressions are equivalent because \( -3(2)(5-4)+3(2-6)=-18 \) and \( -12(-2)-6=18 \). The expressions are equivalent because \( -3(2)(5-4)+3(2-6)=-18 \) and \( -12(1)-6=-18 \).

For a cortain series \( S_{n}=64-64\left(\frac{1}{2}\right)^{n} \) If \( 2^{n}=p \), dotermine the value of \( S_{C}-n-S_{c}+n \) in terms of \( p \).

\( \frac{9}{8}, \frac{\sqrt{2}}{4}, \frac{\sqrt{2}}{2} \) 2. Find the value \( \theta x \) if \( \frac{\sqrt{x^{2}}}{\sqrt{x}}=4 \)

2. Tind the value \&f \( x \) if \( \frac{\sqrt{x^{2}}}{\sqrt{x}}=4 \)

Simplify the expression by applying the power of a power property: \( (a^{2b})^{3} \)

Diberi bahawa \( x-3^{a} \) dan \( y=9^{*} \), ungkapkan \( \log \frac{\sqrt{y}}{81 x^{2}} \) dalam sebutan \( a \) dan \( b \). It is given that \( x=3^{a} \) and \( y=9^{0} \), express \( \log , \frac{\sqrt{y}}{81 x^{2}} \) in terms of \( a \) and \( b \).