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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