An exponential expression is a mathematical expression of the form \$b^n\$, where:
- \$b\$ is the base.
- \$n\$ is the exponent.
The base \$b\$ can be any real number, while the exponent \$n\$ can be any real number.
Properties of Exponents
The properties of exponents are rules that simplify the manipulation of exponential expressions.
The properties of exponents are valid for any real numbers \$a\$ and \$b\$, and any real exponents \$m\$ and \$n\$.
Product of Powers
The product of powers property states that when multiplying exponential expressions with the same base, you add the exponents:
\$\$a^m \cdot a^n = a^{m+n}\$\$
1. Simplify the expression \$x^3 \cdot x^5\$. 2. Simplify the expression \$\frac{y^7}{y^2}\$. 3. Simplify the expression \$(2^4)^3\$. 4. Simplify the expression \$(3 \cdot 5)^2\$. 5. Simplify the expression \$\left(\frac{4}{5}\right)^3\$. 6. Simplify the expression \$9^0\$. 7. Simplify the expression \$5^{-3}\$. 8. Simplify the expression \$16^{\frac{1}{2}}\$. 9. Simplify the expression \$27^{\frac{2}{3}}\$.
