Express the following in simplified exponential…

Mathematics Questions

Express the following in simplified exponential notation: ( 2ab^{18}a^3b^2 ).

Short Answer

The process involves selecting an item and dragging it into an answer box, or discarding it by dragging it to a trashcan icon. Additionally, to calculate the distance AB after applying a transformation, you identify coordinates for points A and B and use the distance formula d = ‚àö((x2 – x1)¬≤ + (y2 – y1)¬≤).

Step-by-Step Solution

Step 1: Select and Drag an Item

Begin by locating the item you wish to use from the list or group of pictures at the bottom of the page. Click on the desired item and keep the mouse button held down while you drag it towards the answer box. This action allows you to position the item accurately according to the task requirements.

Step 2: Place or Discard the Item

Once you have moved the item into the answer box, you can release the mouse button to place it securely. If you change your mind about the selection, simply drag the item over to the trashcan icon to discard it. To clear all selections at once, click directly on the trashcan.

Step 3: Calculate the Distance AB

To determine the distance AB using the transformation T: (x, y) ‚Üí (x + 2, y + 1), identify the coordinates for points A and B based on this transformation. Once you have the coordinates, you can use the distance formula d = ‚àö((x2 – x1)¬≤ + (y2 – y1)¬≤) to calculate the distance between the two points effectively.

Related Concepts

Drag and drop

The action of clicking, holding, and moving an item from one location to another on a screen interface, typically using a mouse.

Distance formula

A mathematical formula used to calculate the distance between two points in a cartesian coordinate system, expressed as d = ‚àö((x2 – x1)¬≤ + (y2 – y1)¬≤).

Transformation

A mathematical operation that alters the position of points in a coordinate system, defined by a function that applies specific changes to the coordinates of a point.

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