1.
Determine the value of \( n \) that makes \( \left(\frac{6}{5}\right)^n = \frac{3125}{7776} \).
2.
Evaluate: \( -6 - 2^4 \)
3.
A cube has volume 1200 cubic inches. Write the edge length of the cube as a power.
4.
The remaining mass of radioactive iodine-131 is given by the formula \( M = M_0(2)^{-\frac{t}{8}} \), where \( M \) is the remaining mass in grams, \( M_0 \) is the initial mass in grams, and \( t \) is the time in days. How many days does it take for 726 grams to be reduced to half?
5.
Biologists use the formula \( b = 0.01m^{\frac{2}{3}} \) to estimate the brain mass, \( b \) kilograms, of a mammal with body mass \( m \) kilograms. Estimate the brain mass of a mammal with body mass 276 kg.
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