Chapter 5 Test: 5.1 - 5.8

Find the indicated nth root(s) of a.

n = 5, a = 16,807

$$\sqrt[n]{a}$$

Evaluate the expression.

$$9^{\frac{3}{2}}$$

Find the real solution(s) of the equation.

$$7x^3\ =\ 189$$

Simplify the Expression.

$$\sqrt[4]{32}\ \ \times\ \ \ \sqrt[4]{8}$$

Perform each indicated operation and write the answer in simplest form.

$$\sqrt[4]{16a^2b^{10}c^4}\ \ \times\ \ \sqrt[4]{a^5b}$$

The function is​​ (a)   and​ (b)   .

The green function $$g\left(x\right)=2\ \sqrt[]{x-6}+1$$ is a ​ (a)   stretch by a factor of 2, a translation 6 units ​ (b)   and a ​ vertical shift ​ (c)   1 unit.

Describe the transformation from the green graph to the blue graph.

Solve the equation. Check your solution.

$$5\sqrt[3]{2x+3}=15$$

Solve the equation. Check your solution.

$$\sqrt[]{8x-21}=\sqrt[]{18-5x}$$