Simplify the expression.

$$13 ^ { \frac { 1 } { 2 } } \cdot 13 ^ { \frac { 3 } { 2 } }$$

Use the divisibility test for 13 to determine whether each number is divisible by 13. 13,351

Find each sum or difference. Simplify if possible.

$$\frac { 6 } { 13 } + \frac { 5 } { 13 }$$

Simplify each expression.

$$\frac{\sqrt{13}+\sqrt{10}}{\sqrt{13}-\sqrt{5}}$$

Use the division expression -(10/13) / 13/3.

a. Write the multiplication expression equivalent to $-\frac{10}{13} \div 4 \frac{1}{3}$.

b. Find the product.

Subtract. Write your answers in simplest terms.

$$\frac{6}{13}-\frac{2}{13}$$

Divide. \

$$\left(6 x^3-5 x^2-13 x+13\right) \div(2 x+3)$$

Tell which property is being illustrated. 13 + (29 + 7) = 13 + (7 + 29)

Find the sum or difference.

$$- \frac { 13 } { 32 } + \left( - \frac { 13 } { 32 } \right)$$

Simplify. $6 \sqrt{7}+\sqrt{13}-4 \sqrt{13}+\sqrt{7}$

Evaluate the following.

$$\left(\begin{array}{l}13 \\ 13\end{array}\right)$$

Find each sum or difference. Simplify if possible. $\dfrac{6}{13}+\dfrac{5}{13}$

Tell which property is being illustrated.

$$13+(29+7)=13+(7+29)$$

Solve each exponential inequality. $\frac{1}{2197}<13^{f} \leq \frac{1}{13}$