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Expressions & Equations Videos 8 videos
Which of the following expressions is equal to x⁵ × x²?
What is the simplified form of the expression ?
ACT Aspire Math: Multiplying Numbers Written in Scientific Notation 8 Views
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Description:
What is the product of 4.33 × 10⁴ and 2.00 × 10⁻²?
Transcript
- 00:03
Okay More math drills for you Expressions equations on his
- 00:07
crap All right What is the product of four point
- 00:09
three three times ten to the fourth and two times
- 00:12
ten to the negative too All right Scientific notation Yeah
- 00:19
it's a great way to take a shortcut for numbers
Full Transcript
- 00:21
that would take a really long time teo Say like
- 00:24
you know point zero zero zero zero zero zero zero
- 00:29
thirty one or whatever Plus who can keep track of
- 00:31
all those zero They're total nobody's but we do have
- 00:34
to remember that they're there So to find the product
- 00:37
or multiplication of two numbers in scientific location we have
- 00:40
to multiply the coefficients together first So let's just do
- 00:43
that thing That four point three three times too And
- 00:46
that's eight point six six So the new combined coefficient
- 00:49
is eight point six six and get partial credit there
- 00:52
right No partial credit on this test Alright then we
- 00:54
use the product rule of exponents when two exponential terms
- 00:57
have the same base and these two terms are being
- 00:59
applied to gather you Khun simplify the expression by raising
- 01:03
the common base to the sum of the two exponents
- 01:06
Right so that's a lot of words Here's how it
- 01:08
looks with variables eight of'em times ated n is eighty
- 01:11
the m plus And so let's just apply this rule
- 01:14
right here So we have eight point six six times
- 01:16
ten to the fourth times Ten to the negative too
- 01:19
And that is just four minus two or ten squared
- 01:22
So eight point six six times one hundred It's eight
- 01:25
hundred sixty six or right Well if we want to
- 01:27
do it all fancy weaken due east right there Eight 00:01:29.721 --> [endTime] point six six times ten squared We're done
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