The Law of Exponents: Simplifying the Expression a^(x+y) using the Laws of Exponents

a^(x+y)

To simplify the expression a^(x+y), we can use the laws of exponents

To simplify the expression a^(x+y), we can use the laws of exponents.

The law of exponents states that for any positive numbers a and b, and any real number x, the product of two powers with the same base can be written as a single power with the same base by adding the exponents. Mathematically, this can be written as:

a^x * a^y = a^(x+y)

Using this law, we can rewrite the expression a^(x+y) as the product of two powers with the same base:

a^(x+y) = a^x * a^y

So, the expression a^(x+y) is equivalent to the product of a^x and a^y.

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