Exponent laws

When you multiply two powers that have the same base, you Add the exponents.

Ex: 5^3 \cdot 5^4 = 5^7

When you divide two powers with the same base, you Subtract the exponents.

Ex: 5^8 \div5^4 = 5^4

When you raise a power to a power, you Multiply the exponents.

Ex: {5^8}^2 = 5^{16}

When you raise any power with the exponent of 0, it is equal to 1.

Ex: 5^0 = 1

When you raise a Product to an exponent, it can be written as each factor with the same exponent.

Ex: 6^8 = 3^8\cdot 2^8

When you raise a Quotient to an exponent, it can be written as each number with the same exponent.

Ex: 6^8 = 24^8\div 4^8