4.4 Raising Fractions to Powers

Raising Fractions to Powers

Fraction and power

Note: when talking about power, remember about the properties of exponent

Properties of Exponent (review)

Note: when talking about power, remember about the properties of exponent

Math Response

$$\left(\frac{2}{3}\right)^5=\ ...$$

Type answer here

Correct Answer: \frac{32}{243}

Deg^°

Rad

Math Response

$$\frac{\left(\frac{5}{3}\right)^4}{\left(\frac{5}{3}\right)^2}=\ ...$$

Type answer here

Correct Answer: \frac{25}{9}

Deg^°

Rad

Math Response

$$\frac{\left(\left(\frac{3}{2}\right)^3\cdot\ \left(\frac{3}{2}\right)^5\right)}{\left(\frac{3}{2}\right)^4}=\ ...$$

Type answer here

Correct Answer: \frac{81}{16}

Deg^°

Rad

Fraction and power

Note: when talking about power, remember about the properties of exponent

Math Response

$$\frac{1}{\left(\frac{1}{5}\right)^3}=\ ...$$

Type answer here

Correct Answer: 125

Deg^°

Rad

Math Response

$$\left(-\frac{3}{2}\right)^5=...$$

Type answer here

Correct Answer: -\frac{243}{32}

Deg^°

Rad

Math Response

$$\left(\frac{7}{4}\right)^3\cdot\ \left(\frac{4}{7}\right)^5\cdot\ \left(\frac{7}{4}\right)^3$$

Type answer here

Correct Answer: \frac{7}{4}

Deg^°

Rad

Math Response

$$\frac{\left(\left(\frac{4}{9}\right)^3\cdot\ \left(\frac{3}{2}\right)^4\right)}{\left(\frac{2}{3}\right)^2}=...$$

Type answer here

Correct Answer: 1

Deg^°

Rad