Simplify 8^{-1}

Simplify the radical expression
$\sqrt[4]{(m+4{)}^8}$

$4\sqrt{6}-2\sqrt{6}=$?

$7\sqrt{2}-6\sqrt{2}=$?

Solve the equation. Find the exact solution if possible; otherwise, use a calculator to approximate to two decimal places.
${\displaystyle 3^{2x-7}=27}$

Differentiate the following. Simplify your answer completly. Write your answer without negative exponents or rational exponents.
${\displaystyle f\left(x\right)=(3x^4+5x-2)(2x^3+\frac{5}{x^4})}$
Find the slope of the line tangent to ${\displaystyle f\left(x\right)=\tan x}$ at ${\displaystyle x=\frac{\pi }{4}}$

Simplify the radical expression
$\sqrt[3]{\frac{11a^2}{64b^6}}$

Rationalize the radical denominator: $$\frac{4}{\sqrt{5}}$$.