Multiply the Radicals with Different Indices $$\sqrt [ 3 ] { z ^ { 5 } } \cdot \sqrt [ 6 ] { z }$$

question 119

Multiple Choice

Multiply the radicals with different indices. Write the answer in radical form and simplify. $$\sqrt [ 3 ] { z ^ { 5 } } \cdot \sqrt [ 6 ] { z }$$

• A) \(\sqrt [ 9 ] { z ^ { 6 } }\)
• B) \(z ^ { 6 } \sqrt { z ^ { 4 } }\)
• C) \(z\)
• D) \(z \sqrt [ 6 ] { z ^ { 5 } }\)

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Definitions:

Logarithm

The exponent that indicates the power to which a base number must be raised to produce a given number.

Graph

A graph in mathematics represents numerical values as points, lines, or areas on a coordinate plane to visually display relationships or functions.

Logarithm

The logarithm is the power to which a number, called the base, must be raised to produce a given number. For example, in base 10, the logarithm of 1000 is 3 because 10 raised to the power of 3 is 1000.

Logarithm

The power to which a base, typically 10 or e, must be raised to produce a given number.