Simplifying Exponential Expression: a^(x-y) Using Exponent Laws

a^(x-y)

The expression a^(x-y) represents the variable ‘a’ raised to the power of the difference between ‘x’ and ‘y’

The expression a^(x-y) represents the variable ‘a’ raised to the power of the difference between ‘x’ and ‘y’.

To simplify this expression, we can use the laws of exponents. One of the exponent laws states that when you have a power raised to another power, you multiply the exponents.

In this case, we have a^(x-y), and we can rewrite it as:

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

Here, a^x represents ‘a’ raised to the power of ‘x’, and a^(-y) represents the reciprocal of ‘a’ raised to the power of ‘y’.

Recall that a^(-y) is the same as 1/a^y, where ‘y’ is the exponent.

So, the expression a^(x-y) can be simplified as a^x * 1/a^y.

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