Precalculus Quiz - Section 3.2 Properties of Exponents

Use the property of exponents to simplify the expression

$$x^3\ \cdot\ x^5$$

Use the property of exponents to simplify the expression

$$\frac{y^7}{y^{-3}}$$

Use the property of exponents to simplify the expression

$$2^4\ \cdot\ 2^3$$

Use the property of exponents to simplify the expression

$$\left(m^{-6}\right)^2$$

Use the property of exponents to simplify the expression

$$\frac{\left(a^4b^2\right)}{\left(a^2b^6\right)}$$

Use the property of exponents to simplify the expression

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

Use the property of exponents to simplify the expression

$$\frac{\left(4x^6\right)}{\left(2x^2\right)}$$

Use the property of exponents to simplify the expression

$$\left(2x^{-2}\ y^5\right)^{-1}$$

Solve the equation using the exponent rule:

Solve the equation using the exponent rule