5. The Real Number System

Rewrite the expression with NO negative exponents.

${10}^{-1}$

Simplify the expression with NO negative exponents.

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

Simplify the expression with NO negative exponents.

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

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 the expression with NO negative exponents.

$\frac{3^{-4}}{5^{-2}}$

Simplify each expression.

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

Simplify each expression using the product rule if possible.

${12}^3\cdot {12}^9$

Rewrite the expression with NO negative exponents.

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

Simplify the expression with NO negative exponents.

$-6^{-2}$

Simplify the expression with NO negative exponents.

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

Rewrite the expression with NO negative exponents.

$y^{-8}$

Simplify each expression, but don’t evaluate.

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

Simplify the expression.

$\frac{y^{27}}{y^9}$

Simplify each expression using the product rule if possible.

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