The 5 Hardest Indices Exam Questions | Grade 7-9 Series | GCSE Maths Tutor

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A video revising the techniques and strategies for completing 5 of the hardest questions on indices - Higher only (Grade 7-9)

This video is part of the Number module in GCSE maths, see my other videos below to continue with the series focussed on indices.

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Revision videos:

More videos in the Number series:

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🔹 Practice the questions
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Thank you so much. I'm really trying to turn myself around in all subjects this year. unfortunately, it's so close to my GCSE'S now, only a few months away and it's really stressful and scary since I never even tried in my previous years. I find these videos so useful, and I really appreciate what you're doing, so from the bottom of my heart, thank you so much. You're changing my life <3

ffuuuccck
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you're saving my GCSEs! thank you.

KK-mkxb
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there's actually an easier way to calculate b in the last question. if you know that 9= 3^2, and square root of 3 =3^1/2, that means 3^2 x 3^1/2, then you can just add the powers to get 3^2.5

Daphne-tj
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Thank u so much sir for all ur help i am year 11 and due to your awesome videos in my mocks i moved from a grade 4 to grade 7. THANK YOU

t.
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Thank you so much for all the effort you’re putting into these fantastic and really helpful videos. Because of you I was able to go from a 6 in November to a 9 in the February mocks. Thank you!!!

drdragon
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I always got these wrong on tests but I finally get them!!! These are still really difficult though 😬 Thank you again for another brilliant video

jameschester
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Thanks for this sir I went from a 5 in September to getting 8s in a lot of my tests now

mrnobody
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Really love the calm intro and overall explanation can not be underestimated.
Keep it up!!!

er-hyper_phoenix
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17:45
for anyone who doesn't understand his method of finding out b, i know an easier way.
since we know that sqrt(3) is the same as 3^1/2 and 9 si the same as 3^2, we can write it as 3^b= 3^2 * 3^1/2
now its much eaasier since we can just cut out the two 3's and add the powers and we get 2+1/2 which equals 5/2
so the answer would be b=5/2
well I hope this helped. have a good day

askhfbfns
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you are a literal lifesaver thank you so much for this video

kasey
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The really low and calm piano in the background actually helps a lot

jibrilmustapha
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nah if my teacher gives us these questions in my maths test on monday im gonna CRY. congrats on 60.5k subscribers by the way!!

yasminx
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Because of you I survived my maths exams, amazing videos keep it up!

safingers
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You made a meal of that last question. I converted 9 to (3 to the power of 2) then x (3 to the power of 1/2), so add indices to get 2+ 1/2, therefore b = 5/2. Thanks for your clear instructions on the rules to enable me to do that 😀

christinabeech
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I love everything about the format of your videos. Your subtle explanations, the gentle justifications of your answers and to mention.. the peaceful music in the background.

tahrinsaleh
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There is a quicker solution to question at 19 minutes. Note that 3^(a+b+c) is the result of the multiplication of the three given terms. When you multiply the 3 terms they all cancel so 3^(a+b+c) =1. Hence a+b+c = 0 (because 3^0 = 1)

SpiralDiving
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i remember getting the question at 14:05 on a practice paper, it hurt my head so much lmao, i thought it was meant to be an easy one, but realised its actually quite annoying for others as well.

doyouknowdawae
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This channel could give me the grades I want for maths as I struggle with it a lot thank you so much 🤝🤝

jahink
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for the question on 10:36 can you 3-n = 1/3n which equals 0.2 and 0.2 is 2/10 which is 1/5 so then u flip 1/5 to get 5 which gets of the negative?

bubblegum.
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There's a much easier way to find what b is on the last question. Separate the 9 and sqrt(3) and make them both 3 to the power of something. So 3^1/2 = sqrt(3) and 3^3 = 9. They are both multiplying together so (3^1/2 x 3^2). Then add the powers and you get 3^5/2 so b =5/2.

aims__