Final answer:
The expression a²*a⁻³*a simplifies to 1 by using the property of exponents which states that when multiplying like bases, you add the exponents, and any base to the power of 0 is 1.
Step-by-step explanation:
The question asks us to express the mathematical expression a²*a⁻³*a in simplified exponential notation. To simplify this expression, we should apply the property of exponents that states when you multiply two powers with the same base, you add their exponents. Here's the step-by-step simplification:
- Multiply a² (which is a squared) by a⁻³ (which is a to the power of negative three): a² × a⁻³.
- Add the exponents: 2 + (-3) = -1.
- The result is a⁻¹.
- Multiply this result by a, which is the same as a¹.
- Again, add the exponents: -1 + 1 = 0.
- Any base raised to the power of 0 is 1, so the final simplified form of the expression is 1.
Therefore, the expression a²*a⁻³*a in simplified exponential notation is 1.