<transcript><audio_2>the front numbers together let's do that first 4.7 * 6.1 28.67 we can then also combine the T</transcript><transcript><audio_3>together time 10 by using our exponent properties and adding the exponents together -3 and 9 is six however you'll notice this expression is not in scientific notation</transcript><transcript><audio_4>because the decimal point is in the wrong spot what we'll do is we'll put that 28.67 in scientific notation by moving the decimal point over once giving us</transcript><transcript><audio_5>2.86 7 time 10 and since it was a big number we have a positive one for an exponent we still have the times 10 the 6 at the</transcript><transcript><audio_6>end now we can combine This Together by adding the exponents on the remaining tens giving us 2.86 7 * 10 the 7th power</transcript><transcript><audio_7>now this quick conversion put our final answer in correct scientific notation we got that by taking the 28 and moving the decimal once because the 28 in standard notation was a big number</transcript><caption><image_8>The image is a mathematical equation written in purple text on a white background. The equation is written in a simple, hand-drawn style and is composed of four quadratic equations. 

The first equation is (4.2x10) and it is written as (6.1x10). The equation has a value of 2.8.6x10, which is written on the left side of the equation. The second equation is also written as a value (2.867x10), which is the value of the given equation.

There are also three other equations written in the same purple text as the equation, which are written in green and orange colors. The equations are arranged in a horizontal line, with the first equation on the top left and the second equation in the middle. The third equation is in the center of the image, and the fourth equation is on the bottom right. The image appears to be a screenshot of a math worksheet or a math problem.</caption> the front numbers together let's do that first 4.7 * 6.1 28.67 we can then also combine the T together time 10 by using our exponent properties and adding the exponents together -3 and 9 is six however you'll notice this expression is not in scientific notation because the decimal point is in the wrong spot what we'll do is we'll put that 28.67 in scientific notation by moving the decimal point over once giving us 2.86 7 time 10 and since it was a big number we have a positive one for an exponent we still have the times 10 the 6 at the end now we can combine This Together by adding the exponents on the remaining tens giving us 2.86 7 * 10 the 7th power now this quick conversion put our final answer in correct scientific notation we got that by taking the 28 and moving the decimal once because the 28 in standard notation was a big number
{"source": "grass-yt-cc-by.-mbbHDWhz-8|shard_0_0|create_multimodal_data.extract_yt_and_generate_transcripts.45|shard_0|create_multimodal_data.generate_captions.45|shard_0|create_multimodal_data.generate_captions.45", "params": {"id": "-mbbHDWhz-8", "channel_id": "UCIWdGwRqhHME_DfT0K6A6tw", "duration": 112, "view_count": 1785, "age_limit": 0, "like_count": 0, "channel_follower_count": 939, "license": "Creative Commons Attribution license (reuse allowed)", "uploader_id": "@wallaceopenmath", "yt_tar_file": "/leonardo_work/EUHPC_E03_068/audio/fixed_download/grass-yt-cc-by//shard_0/-mbbHDWhz-8.tar.gz"}}