Question

Represent the expression (a⁵*a/a⁻³)⁻¹ where a doesn't equal 0?

Answer 1

The expression (a⁵*a/a⁻³)⁻¹ simplifies to 1/a³.

Step-by-step explanation:

To represent the expression (a⁵*a/a⁻³)⁻¹, we need to simplify it first. Using the properties of exponents, we can simplify the expression as follows:

1. Combining the exponents with the same base, we have a⁵ * a⁻².
2. Using the property of multiplication with the same base, we add the exponents: a⁵ * a⁻² = a^(5+(-2)).
3. Adding -2 to 5 gives us a³.
4. Finally, taking the reciprocal or raising to the power of -1, we have (a³)⁻¹ = 1/a³.

Therefore, the expression (a⁵*a/a⁻³)⁻¹ simplifies to 1/a³.