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Maths gcse q

Hi got my exam in a couple of hours can any one explain quickly this question?

x = 2^k and rt(4/x) = 2^c

and the answer is c = 1 - (k/2)

Pleas help,
thanks
Reply 1
Avatar for 4Ed
4Ed
15
andy_
Hi got my exam in a couple of hours can any one explain quickly this question?

x = 2^k and rt(4/x) = 2^c

and the answer is c = 1 - (k/2)

Pleas help,
thanks

do you mean rt() to mean square root of?

basically 4/x = 2^2/2^k = 2^(2-k)
square root of y = y ^ 1/2

so sqrt (4/x) = 2^1/2(2-k) = 2^(1-k/2) = 2^c

so c = 1-k/2
Reply 2
Avatar for andy_
andy_
OP
4Ed
do you mean rt() to mean square root of?

basically 4/x = 2^2/2^k = 2^(2-k)
square root of y = y ^ 1/2

so sqrt (4/x) = 2^1/2(2-k) = 2^(1-k/2) = 2^c

so c = 1-k/2

ahhhh coool thanks a lot for that. I get it now.

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