# Exponents \\( x^n = x_1 \times x_2 \times\ \cdot\cdot\cdot\ \times x_n \\) ## Examples * \\(2^5 = 2 \times 2 \times 2 \times 2 \times 2 = 32 \\) * \\(5^7 = 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 = 78125 \\) # Exponent Operations ## Multiplication \\( a^x \times b^y = (a \times b)^{x + y} \\) * \\( 10^4 \times 2^2 = (10 \times 2)^{4 + 2} = 20^6 \\) ## Division \\( a^x \div b^y = (a \div b)^{x - y} \\) * \\( 10^3 \div 2^4 = (10 \div 2)^{(4 - 2)} = 5^2 = 25 \\) ## Exponent ## Zero Exponent ## Negative Exponent ## Fractional Exponent ## Examples # Exponential Equation