Dr. Kat Math Practice

Multiplying Powers of 10

Lesson Page 2, Section 1 (Standard Notation)

What you'll work on

Apply the product rule for exponents — when multiplying two powers that share the same base, add their exponents — including cases with negative exponents.

Big Idea for this lesson

$A painted illustration of three rising wooden tiers stacked like a stair-step display, each tier holding small round polished wooden discs — the bottom tier holds a single disc, the middle tier holds a tight cluster of about ten discs, the top tier holds a dense spiral of many many more discs (visibly far more than ten), each tier obviously holding ten times the count below it. Soft amber lamplight, painterly brushwork, classical-mathematician's-display aesthetic, NO numbers or text on any disc.$

When you multiply two powers with the same base, you add the exponents. The base stays the same; only the exponent changes. This works even when one exponent is negative.

6 questions · pace yourself · explanations on every answer

← Back

Almost there…