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# Indices Help

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1. Because many maths teachers have left, my class (yr 11 set 1) has been given a pe teacher- dont know if he's a qualified maths teacher. We are doing indices and he's told me two different answers so far and after looking online, there is another one so could someone that knows indices please tell me the answers to the following:
(2x^4)^8
(2^4)^8
(x^4)^8
In indices form please. I'm just really confused and I dont know if I can trust him now. Thank you
2. (Original post by pinkypaz123)
Because many maths teachers have left, my class (yr 11 set 1) has been given a pe teacher- dont know if he's a qualified maths teacher. We are doing indices and he's told me two different answers so far and after looking online, there is another one so could someone that knows indices please tell me the answers to the following:
(2x^4)^8
(2^4)^8
(x^4)^8
In indices form please. I'm just really confused and I dont know if I can trust him now. Thank you
In an exam it's not just your answer that counts but the method - and okay, you've been given conflicting answers but if you're not sure what it is then you're not confident in your method. What have you tried / got to?

Also, it helps looking ahead if you find (x^4)^8 first, then (2^4)^8 and then see if you can think of how to approach the final one less manually.
3. (Original post by pinkypaz123)
Because many maths teachers have left, my class (yr 11 set 1) has been given a pe teacher- dont know if he's a qualified maths teacher. We are doing indices and he's told me two different answers so far and after looking online, there is another one so could someone that knows indices please tell me the answers to the following:
(2x^4)^8
(2^4)^8
(x^4)^8
In indices form please. I'm just really confused and I dont know if I can trust him now. Thank you
(2^4)^8 = 2^(4*8) = 2^32.
Similarly (x^4)^8 = x^32.
(2x^4)^8 = 2^8 * (x^4)^8 = 256x^32.
4. They key rules here are

(ab)^x = (a^x)(b^x)

(a^b)^c = a^(bc)

Try it with some (small) values to check that you believe these rules are correct. Then you will know too trust us!

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