Evaluate each expression.

$10^m \cdot 10^n$ for $m = 2$ and $n = 4$

On a scale drawing of a certain building, 1 in. represents 2.5 ft. The length of one wall in the drawing is 3.6 in. What is the actual length of that wall?

Multiply.

$$(2 + 3y)(2 - 3y)$$

Evaluate each expression.

$x^5 \cdot x^3$ for $x = 2$

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

Simplify.

$$(8m^{-3})(-4m^4)(m^{-4})$$

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

Simplify.

$$x^{3a}x^{2b}$$

Compute the given expression.

$$(x + 4)(x + 5)-(x + 4)(x + 5)$$

Compute the given expression.

$$(x + 3)(x + 6)+(x + 3)(x + 6)$$

Simplify. Express using $(a)$ negative exponents; $(b)$ positive exponents.

$$\dfrac{m^5}{m^{10}}$$

Multiply.

$$(-2y + 7x)(-2y - 7x)$$

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

Simplify.

$$(5x^{-2})(2x^{-4})$$

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

Simplify.

$$x^{2a}x^4$$

Identify the degree of each term and the degree of the polynomial.

$$9a + 6$$

Simplify. Express using exponents.

$$n^3 \cdot n$$