지수법칙

Use the Definition of a Negative Exponent

In the following exercises, simplify each expression.

ⓐ ${s}^{-8}$ ⓑ ${10}^{-2}$ ⓒ $\frac{1}{{t}^{-9}}$ ⓓ $\frac{1}{{10}^{-4}}$

Use the Definition of a Negative Exponent

In the following exercises, simplify each expression.

ⓐ ${\left(\frac{5}{8}\right)}^{-2}$ ⓑ ${\left(-\frac{b}{a}\right)}^{-2}$

Use the Definition of a Negative Exponent

In the following exercises, simplify each expression.

ⓐ ${\left(\frac{3}{10}\right)}^{-2}$ ⓑ ${\left(-\frac{2}{z}\right)}^{-3}$

Use the Definition of a Negative Exponent

In the following exercises, simplify each expression.

ⓐ ${\left(\frac{4}{9}\right)}^{-3}$ ⓑ ${\left(-\frac{u}{v}\right)}^{-5}$

Use the Definition of a Negative Exponent

In the following exercises, simplify each expression.

ⓐ ${\left(\frac{7}{2}\right)}^{-3}$ ⓑ ${\left(-\frac{3}{x}\right)}^{-3}$

Use the Definition of a Negative Exponent

In the following exercises, simplify each expression.

ⓐ ${(-5)}^{-2}$ ⓑ $-{5}^{-2}$ ⓒ ${\left(-\frac{1}{5}\right)}^{-2}$ ⓓ $-{\left(\frac{1}{5}\right)}^{-2}$

Use the Definition of a Negative Exponent

In the following exercises, simplify each expression.

ⓐ $-{5}^{-3}$ ⓑ ${\left(-\frac{1}{5}\right)}^{-3}$ ⓒ $-{\left(\frac{1}{5}\right)}^{-3}$ ⓓ ${(-5)}^{-3}$

Use the Definition of a Negative Exponent

In the following exercises, simplify each expression.

ⓐ $3\cdot {5}^{-1}$ ⓑ ${(3\cdot 5)}^{-1}$

Use the Definition of a Negative Exponent

In the following exercises, simplify each expression.

ⓐ $3\cdot {4}^{-2}$ ⓑ ${(3\cdot 4)}^{-2}$

In the following exercises, simplify each expression using the Product Property.

ⓐ ${b}^{4}{b}^{-8}$ ⓑ $({w}^{4}{x}^{-5})({w}^{-2}{x}^{-4})$ ⓒ $(-6{c}^{-3}{d}^{9})(2{c}^{4}{d}^{-5})$

In the following exercises, simplify each expression using the Product Property.

ⓐ ${s}^{3}\cdot {s}^{-7}$ ⓑ $({m}^{3}{n}^{-3})({m}^{-5}{n}^{-1})$ ⓒ $(-2{j}^{-5}{k}^{8})(7{j}^{2}{k}^{-3})$

In the following exercises, simplify each expression using the Product Property.

ⓐ ${a}^{3}\cdot {a}^{-3}$ ⓑ $(u{v}^{-2})({u}^{-5}{v}^{-3})$ ⓒ $(-4{r}^{-2}{s}^{-8})(9{r}^{4}{s}^{3})$

In the following exercises, simplify each expression using the Product Property.

ⓐ ${y}^{5}\cdot {y}^{-5}$ ⓑ $(p{q}^{-4})({p}^{-6}{q}^{-3})$ ⓒ $(-5{m}^{4}{n}^{6})(8{m}^{-5}{n}^{-3})$

In the following exercises, simplify each expression using the Product Property.

${p}^{5}\cdot {p}^{-2}\cdot {p}^{-4}$

In the following exercises, simplify each expression using the Product Property.

${x}^{4}\cdot {x}^{-2}\cdot {x}^{-3}$

In the following exercises, simplify each expression using the Power Property.

ⓐ ${({m}^{4})}^{2}$ ⓑ ${({10}^{3})}^{6}$ ⓒ ${({x}^{3})}^{-4}$

In the following exercises, simplify each expression using the Power Property.

ⓐ ${({b}^{2})}^{7}$ ⓑ ${({3}^{8})}^{2}$ ⓒ ${({k}^{2})}^{-5}$

In the following exercises, simplify each expression using the Power Property.

ⓐ ${({y}^{3})}^{x}$ ⓑ ${({5}^{x})}^{y}$ ⓒ ${({q}^{6})}^{-8}$

In the following exercises, simplify each expression using the Power Property.

ⓐ ${({x}^{2})}^{y}$ ⓑ ${({7}^{a})}^{b}$ ⓒ ${({a}^{9})}^{-10}$

In the following exercises, simplify each expression using the Product to a Power Property.

ⓐ ${(-3xy)}^{2}$ ⓑ ${(6a)}^{0}$ ⓒ ${(5{x}^{2})}^{-2}$ ⓓ ${(-4{y}^{-3})}^{2}$