195k views
3 votes
Simplify and write the following in exponential notation. If (w³/⁴*q⁵/⁸)³/¹⁰=wᵐ*qⁿ

User Sergioadh
by
8.2k points

1 Answer

5 votes

Final answer:

To simplify and write (w³/⁴*q⁵/⁸)³/¹⁰ in exponential notation, we need to cube both the digit term and the exponent term. The simplified expression in exponential notation is w⁹/⁴ * q¹⁵/⁸.

Step-by-step explanation:

To simplify and write (w³/⁴*q⁵/⁸)³/¹⁰ in exponential notation, we need to cube both the digit term and the exponent term.

The digit term is (w³/⁴*q⁵/⁸) and the exponent term is ³/¹⁰.

So, cubing the digit term results in w³*(³/⁴) * q⁵*(³/⁸) = w⁹/⁴ * q¹⁵/⁸.

Thus, the simplified expression in exponential notation is w⁹/⁴ * q¹⁵/⁸.

User Anton Eliasson
by
7.5k points