Two tanks hold a total of 64 gallons of a toxic solvent. One tank holds 7 gallons more than twice the amount in the other. How many gallons does each tank hold? smaller value larger value

b) \( 5^{3^{2}}:\left(5^{3}\right)^{2}= \)

Reflect the vector \( \langle-11,4\rangle \) across the \( y \) axis. \( \langle[?],[\quad]\rangle \)

Vereinfache die Wurzelterme mithilfe der Potenzgesetze: \( \begin{array}{lll}\text { a) } \sqrt{\sqrt[3]{a}} & \text { b) } \sqrt[3]{\sqrt[4]{a}} & \text { c) } \sqrt[3]{a^{2}} \cdot \sqrt[3]{a^{5}} \\ \text { e) } \sqrt{\sqrt{\sqrt{a}}} & \text { f) } \sqrt{a \sqrt{a \sqrt{a}}} & \text { g) } \sqrt[3]{\frac{1}{\sqrt{a}}}\end{array} \)

a. \( f(x)=3 \cdot 4^{x} \) at \( x=2 \)

\( y ^ { \prime \prime } + 5 y ^ { \prime } - 6 y = 10 e ^ { 2 x } \)