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Powers in Z and Q

Mathematics — first biennium · Lesson

Numbers and arithmetic

Powers in Z and Q

Choose the property first, then change only the exponents according to that rule.

Rule
Formula matematica
Example
Formula matematica
What you need to know before the exercises

In this lesson: Apply exponent rules deliberately with integer and rational bases.

How to proceed: First check that the base is really the same. In a product add exponents, in a quotient subtract them, and in a power of a power multiply them.

You can already assume: Laws of exponents and fraction operations.

Try it now

Rewrite the expression as a single power.

Guided

Completed exercises: 0/5 · Correct on first attempt: 0

How to reason

First check that the base is really the same. In a product add exponents, in a quotient subtract them, and in a power of a power multiply them.

Formula matematica

You can write fractions as 3/4 and powers as 2^5.

Your competency map

What you need to know for Powers in Z and Q

ConceptStep separates what is required from what is recommended or useful as reinforcement. Only required prerequisites block your progress.

Current topic Strong skill Review due Needs reinforcement To be mastered Optional support

Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.

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