Count Factors to Combine Same-Base Powers
Multiplying two powers with the same base concatenates their repeated factors.
About 20 minutes, plus any extended practice
Open lesson 1Integer Powers and Scientific Notation
Powers encode repeated multiplication. Integer exponent rules preserve that structure, while scientific notation separates a number’s scale from a coefficient that can be compared or operated on efficiently.
Before you begin
- Multiply and divide signed rational numbers; understand place value and repeated factors.
Choose by skill rather than age alone. Read with an adult when useful, revisit a lesson, or explore another grade.
Follow the lesson sequence
Interpret a Negative Exponent as a Reciprocal
A negative integer exponent represents the reciprocal of a positive power of the same nonzero base.
About 20 minutes, plus any extended practice
Open lesson 2Multiply Coefficients and Combine Powers of Ten
Scientific-notation multiplication first multiplies the coefficients and then multiplies the powers of ten.
About 20 minutes, plus any extended practice
Open lesson 3Match the Power of Ten before Adding
Adding scaled quantities requires equal scale factors.
About 20 minutes, plus any extended practice
Open lesson 4Review and transfer
After the lessons, try 4 new review cases and a practical task. Each answer has an explanation and a link back to the related lesson.
Open the unit reviewGuest answers are temporary. Keep your own paper or document; this unit does not certify completion or record a school grade.
Topic references
- California CCSS mathematics topic reference: topic reference — Integer Powers and Scientific Notation
These references informed the topic selection. They do not certify complete standards alignment.