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

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

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

$$9a + 6$$

Simplify. Express using exponents.

$$n^3 \cdot n$$

Subtract

$$(5x^2 + 6) - (3x^2 - 8)$$

Multiply.

$$(2x + 1)(2x - 1)$$

Simplify.

$$\dfrac{7^5}{7^3}$$

Simplify.

$$(m^8)^4$$

Add.

$-4x^4 + 6x^2 - 3x - 5$ and $6x^3 + 5x + 9$

Multiply.

$$(x^3 + x^2 - x)(x^3 + x^2)$$

Multiply.

$$3x^2(x^3 + 5)$$

Collect like terms and then arrange in descending order for the variable $m$.

$$3m^4 - 5m^6 - 2m^4 + 6m^6$$

Multiply.

$$(3a^4)(2a^2)$$

Simplify. Express using a positive exponent.

$$6^{-2}$$

Write using standard notation.

$$3.4 \cdot 10^{-5}$$