Simplifying (a^x)^y: Applying the Rule of Exponents for Raising Powers to Powers

(a^x)^y

When we have an expression in the form (a^x)^y, it means that we have a base (a) raised to an exponent (x), and that result is again raised to another exponent (y)

When we have an expression in the form (a^x)^y, it means that we have a base (a) raised to an exponent (x), and that result is again raised to another exponent (y).

To simplify this expression, we can use the rules of exponents. According to the rule (a^m)^n = a^(m*n), we can multiply the exponents when raising a power to another power.

Applying this rule to our expression, we can rewrite it as a^(x*y).

So, the simplified form of (a^x)^y is a^(x*y).

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