Perform the indicated operations. Write the result in scientific notation. \[ \frac{\left(5 \times 10^{4}\right)\left(3 \times 10^{-5}\right)\left(4 \times 10^{6}\right)}{\left(1.5 \times 10^{6}\right)\left(2 \times 10^{-11}\right)} \]

Write in terms of \( i \). Simplify your answer as much as possible, \( -\sqrt{-9} \)

Sea \( f: \mathbb{R} \mapsto \mathbb{R} \) tal que \( f(x)=\left\{\begin{array}{cc}3 x-6, & |x-2|<3 \\ 0, & x \geq 5 \vee x \leq-1\end{array}\right. \) Entonces la regla de correspondencia de \( 3-f(3-x) \) es

The term at position \( n \) in a sequence is \( n+2 \) Work out the \( 5^{\text {th }} \) term in this sequence. (Hint: the \( 5^{\text {th }} \) term is when \( n=5 \) )

39. \( -4(6+4) \div(-2)+1= \) 40. \( 12 \div(7-4)-2= \) 41. \( 1+4^{2} \div(3+1)= \)

Perform the indicated operations. Write the result in scientific notation rounded to three significant digits. \[ \left(\frac{9.6 \times 10^{-3}}{\left(2.45 \times 10^{-4}\right)\left(1.1 \times 10^{5}\right)}\right)^{6} \]