Simplifying Exponential Expressions Using the Power of a Sum Property

a^(x+y)

When we see an expression like a^(x+y), it means we have a base (a) raised to the power of a sum (x+y)

When we see an expression like a^(x+y), it means we have a base (a) raised to the power of a sum (x+y). To simplify this expression, we can utilize the properties of exponents.

The property we will use here is the power of a sum. According to this property, when we have a base raised to the power of a sum, we can separate it into separate terms raised to that power. Mathematically, it is expressed as:

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

So, we can rewrite the expression a^(x+y) as a^x * a^y.

For example, if we have a = 2, x = 3, and y = 4, we can calculate the value of a^(x+y):

a^(x+y) = 2^(3+4)

Using the property of exponents, we can rewrite this as:

2^3 * 2^4

Simplifying further, we get:

8 * 16 = 128

So, in this example, the value of a^(x+y) when a = 2, x = 3, and y = 4 is 128.

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