4. The Real Number System

Simplify each expression.

$\left(2s^{3}t\right)\left(3s^4{t}^2\right)$

Simplify the expression with NO negative exponents.

$2^{-1}+4^{-1}$

Simplify each expression.

$xy\cdot 3x^2$

Simplify the expression with NO negative exponents.

$2^{-1}\cdot 2^4$

Simplify the expression with NO negative exponents.

$-6^{-2}$

Rewrite the expression with NO negative exponents.

$\frac{1}{5^{-3}}$

Simplify the expression with NO negative exponents.

$a^3\cdot a^{-7}\cdot a^5$

Simplify the expression with NO negative exponents.

$9z^{-6}$

Simplify each expression, but don’t evaluate.

$\frac{(x^2{)}^4}{{\left(x^3\right)}^3}$

Simplify each expression using the product rule if possible.

$(-4{)}^6(-4)$

Simplify each expression, but don’t evaluate.

${\left({100}^{26}\right)}^0$

Use the quotient rule to rewrite each expression, then simplify.

$-\frac{12b^{11}}{4b^7}$

Simplify the expression. Hint: rewrite using exponents first.

$\frac{64}{16}$

Simplify each expression.

$(-5a^2)\left(3a^8\right)$

Use the quotient rule to rewrite each expression, then simplify.

$\frac{30x^5{y}^3{z}^3}{-15x^2{y}^{3}z}$