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When multiplying exponents with same base you can add the exponents: $a\cdot a^2$
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$\left(a^{3}\right)^2a^5$
Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression (aa^2)^2a^5. When multiplying exponents with same base you can add the exponents: a\cdot a^2. Simplify \left(a^{3}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals 2. Multiply 3 times 2. When multiplying exponents with same base we can add the exponents.