Question

Please help

If 2^-m x 1/2^m = 1/4 ....then

1/14 { (4^m)^1/2 + ( 1/5^m)^-1} is equal to ?

Answer 1

Hope this answer helps you.....

Answer 2

Answer:

1/2 is the answer

Step-by-step explanation:

consider

2^-m*1/2^m=1/4

=1/2^m*1/2^m

=1/(2^m*2^m)

1/2^2m=1/2^2

equating the power of exponents we get

2m=2

m=2/2

m=1

by substituting 1/14[(4^m)1/2+{1/(5^m)^-1] we get

=1/14[4^1*1/2+(1/5^m)^-1]

=1/14[2^2*1/2+1/5^-1]

=1/14[2*1/1/5]

=1/14[2+1*5/1]

=1/14{2+5}

=1/14*7

=1/2