Question

Choose the correct simplification of the expression (d³ ⋅ d⁵).

a) (d¹⁵)
b) (d²)
c) (d⁸)
d) (d⁸)

Answer 1

To simplify the expression (d³ ⋅ d⁵), we need to apply the rule for multiplying exponential terms with the same base. The base is 'd', so we add the exponents 3 and 5 to get a final exponent of 8.

Step-by-step explanation:

To simplify the expression (d³ ⋅ d⁵), we need to apply the rule for multiplying exponential terms with the same base. The rule states that we need to add the exponents when multiplying terms with the same base.

In this case, the base is 'd', so we add the exponents 3 and 5. Therefore, (d³ ⋅ d⁵) simplifies to d^(3+5), which is equal to d⁸.

So, the correct simplification of the expression (d³ ⋅ d⁵) is (d⁸).