Exponent rule for multiplication of like bases

1 answer

The exponent rule for multiplication of like bases states that when multiplying two exponential expressions with the same base, you can add the exponents.

In mathematical notation, if a is a positive real number and m and n are any real numbers, then a^m * a^n = a^(m + n)

For example, if you have 2^3 * 2^4, you can apply the exponent rule to add the exponents, resulting in 2^(3 + 4) = 2^7.

Similarly, if you have (5^2) * (5^3), you can add the exponents: 5^(2 + 3) = 5^5.