novice

Sorry don't know how to write superscript so using the "^" sign.

a 7⁄8 * a ‾ 3⁄4

since the base is same, add the powers

= a ^(7/8 - 3/4)

= a ^(1/8)

5√2048 + 5*5√2 

= 5√2*1024 + 5*5√2 

= 5√2*32*32 + 5*5√2 

= 5*32√2 + 5*5√2 

=(160+25)*√2

=185√2

1 US Dollar = 3.43 Israeli new shekel

So, 5 US dollars = 17.15 Israeli new shekel

A mathematical function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.

4√32 +4√50-2√8 

=4*4*sqrt(2)+4*5*sqrt(2)-2*2*sqrt(2)

=16*sqrt(2)+20*sqrt(2)-4*sqrt(2)

=32*sqrt(2)

I hope it helps.

 1 5/6 + 2 5/6

= 3 5/6           It is read as 3 whole and 5/6

= 23/6

take log of both sides :

x log(7/9) = (1-x) log(7)

=> x[ log(7) - log(9)] = log(7) - x log(7)

=> xlog(7) - xlog(9) = log(7) - xlog(7)

=> 2xlog(7) -x log(9) = log(7)

=> 2x (0.845098) - x(0.954243) = 0.845098

=> x(2*0.845098 - 0.954243) = 0.845098

=> x(0.735954) = 0.845098

=> x = 0.845098 /0.735954

=> x = 1.148303

You can check the answer by substituting the value of x.

I hope it helps.

if you mean a-5/8 = -1/4 then

a-5/8 = -1/4

=> a = 5/8  - 1/4

=> a = 5/8 - 2/8

=> a = 3/8

and if you meant (a-5)/8 = -1/4 then

(a-5)/8 = -1/4

=> a-5 = (-1/4) * 8

=> a-5 = -2

=> a = -2 + 5

=> a = 3

You can use forward slash / as we write in a fraction.

6/2 is a fraction. And if there are more numerals involved, use brackets as (6*2+8)/4

I hope it helps.