8 cubed divided by 8 squared times 8 = ? Many will make this BASIC Math mistakes!
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PEMDAS-procedure: 8³ / 8² = 8¹ and 8¹ x 8 = 64
Couldn’t have said it better
With the same base of 8, dividing 8 cubed (8 to the power of 3) by 8 squared (8 to the power of 2), you just have to subtract the exponents, meaning 3-2 = 1, leaving 8 to the power of 1 which 8. Then 8 x 8 = 64.
We have 8^3 / 8^2 x 8.
1. We follow Oder of Operations, so we’ll focus on 8^3 / 8^2.
2. Notice that 8^3 / 8^2 has the same base, so we’ll use the rule x^a /x^b = x^a - b.
So, 8^3 / 8^2 = 8^3 - 2 = 8^1 = 8
3. Now we just have 8 x 8, which is 64.
Final ans: d.) 64.
Ez
Alt 0178 = ² and Alt 0179 = ³
@@enriqueiii9209 This would only work if you have powers of 2 or 3. If you need higher powers (like 5) then you would likely have to use the notation given above which is fine and most people (at least programmers) know what this is.
PEMDAS Left to right for order of operations.
8^3 / 8^2 x 8 =
(512 / 64) x 8 =
8x8 = 64
You could also solve this by subtracting the exponents since the bases are the same (for multiplication, you would add the exponents). I see that you probably did it this way to show people if they didn't know this property of exponents they could still figure out the problem though. But as with many things in math, if all else fails, you can fall back on the long version of doing things if you remember the proper approach (formulas and mathematics). But learning things like the rule of exponnents can help for more complex problems like 8^10 / 8^7.
Man, you take what could be simple and draw it out to make it appear more complicated than it needs to be.
Keep these coming, you've managed to permanently implant PEMDAS into my brain, it's appreciated, and yes, I got this one right ... thanks for the A+!
super simple remembering PEMA or Please excuse my Arithmetic
rewrite:
(1/8)² * 8 ^ 3 * 8
remembering that x to the a power divided by x to the b power is x to the (-b + a) we are left with:
8 ^ (-2 + 3) * 8
(8 ^ 1) * 8
8 * 8 or just 64
You can also say a - b for the exponent math.
Got it ! I remember the order of operations.
Solved at the thumbnail, the answer is d) 64.
First, 8^2 is 64, and 8^3 is 8^2 * 8, so 8^3 / 8^2 = 8.
And 8 * 8 = 8^2 which, as we've already seen, is 64.
64! There's a rule for dividing & multiplying exponents that share the same base, right? For division, you subtract the exponents: 8^3 ÷ 8^2 => 8^(3-2), for multiplication, you add: 2^2 x 2^3 => 2^(2+3).
Cool, thanks for this helpful tip! 👍😃
D, my problem is that I can look at a problem and get the right answer, however I can’t show my work don’t know the steps.
Something I noticed was that if we have a number to the power of, let's say 5 and divide it by the same number to the power of 3, the final result will be the number to the power of 2. Basically just subtracting the second power from the first power. Is that always principle true (if the variable is the same)?
Yes, it's always true for subtraction of exponents. I'd post a link, but then my reply might get deleted. Do a web search using the search terms "law of subtracting exponents" and you'll find many videos and webpages as a result. Take your pick.
When the 8³ is divided by 8², because the bases are the same, one can simply subtract the lower exponent from the higher one, leaving 8 as the answer.
8^3 / 8^2 x 8 (8 x 8 x 8) / (8 x 8) = 8
8 x 8
64
1
64.
What I did 8³ ÷ 8² x 8 =
subtract the power, 8 ÷ 8 x 8 =
8 x 8 = 64
D) 64
d) 64
It's 3
8x8x8:8x8x8
Answer 1
D. 64
Ans=8^3--2×8=8×8=64.
got it 64 3 - 2 = 1 so 8 x 8 = 64 thanks for the fun
8³ ÷ 8² = 8
8 × 8 = 64
Answer = 64
'Deu 64, letra D.
D) 64.
The answer is (d)
Math for dummies. 8^(3-2+1)=8^2
Answer is 1
No 2 ways about it, in 3 seconds
You still preach PEMDAS but do not use it
Multiply first
Then it is 8 cubed/8 cubed = 1
D
d
D 64
Very long winded, when the bases are the same subtract powers so 3-2=1. 8 to the power of 1 × 8= 64.
512/64=8; 8*8=64
D.) 64
d)
8³ ÷ 8² = 8 ... then 8 × 8 = 64
Another PEMDAS cream puff. Thanks Boss.
64
raspuns '' 64 .
The answer is 64
It's a festival of 8's. 64 is the familial answer.
Thank You for Clarification. I had temporary brain freeze and forgot 8x8=64😂😂😂
Questa non è matematica. Questa è logica.
Anyone else hear the hum?
Buzzzzzzz
Please excuse my dear aunt sally
Less than 5 seconds lol I got 64
8×8=64
1
d) 64
D). 64
D) 64
D
d
64
1
64
64
64
64
64
64
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64
64