Multiply.

$$(7t^5)(4t^3)$$

Simplify.

$$\dfrac{x^9y^7}{x^2y^3}$$

Write using standard notation.

$$6 \cdot 10^{-4}$$

Multiply.

$$(a - b)(a^3 + a^2b + ab^2 + b^3)$$

Multiply.

$$(4a - 7)(4a + 7)$$

Add.

$$(7x^3 + 6x^2 + 4x + 1) + (-7x^3 + 6x^2 - 4x + 5)$$

Subtract

$$(6x^5 - 3x^4 + x + 1) - (8x^5 + 3x^4 -1)$$

$$\textbf{\textcolor{#4257b2}{Challenge}}$$

Write each of the following as a power of $2$.

$$4^3$$

$$\textbf{\textcolor{#4257b2}{Mixed Review}}$$

Solve.

$$m + 4 = -3m$$

$$\textbf{\textcolor{#4257b2}{Mixed Review}}$$

Solve.

$$3 - 6x \lt 9$$

$$\textbf{\textcolor{#4257b2}{Challenge}}$$

Write each of the following as a power of $2$.

$$16$$

$$\textbf{\textcolor{#4257b2}{Mixed Review}}$$

Give the reciprocal.

$$\dfrac{7}{t}$$

$$\textbf{\textcolor{#4257b2}{Mixed Review}}$$

Solve.

$$6x \le - 36$$

$\textbf{\textcolor{#4257b2}{Critical Thinking}} \hspace{10pt}$ Is $(a + b)^m = a^m + b^m$ true for all numbers? If yes, justify your answer. If no, give a counterexample.