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Popular >

simplify a^{x+y}*a^{2x-3y}

Solution

simplify

a^{x + y} \cdot a^{2 x - 3 y}

Solution

a^{3 x - 2 y}

Solution steps

a^{x + y} a^{2 x - 3 y}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

a^{x + y} a^{2 x - 3 y} = a^{x + y + 2 x - 3 y}

= a^{x + y + 2 x - 3 y}

Simplify

x + y + 2 x - 3 y : 3 x - 2 y

= a^{3 x - 2 y}

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Frequently Asked Questions (FAQ)

What is a^{x+y}*a^{2x-3y} ?
The solution to a^{x+y}*a^{2x-3y} is a^{3x-2y}