Really Stuck on these...

1) If (1/5)m(1/4)18 = 1/2(10)35, m?
a. 18
b. 17
c. 21
d. 35
e. 3

is that equation 1/5 x m x 1/4 x 18 = 1/2 x 10 x 35? because it doesn't equal any of those answers. if you're trying to do square roots use x^2 to show x square


2) (-1)k+1(½k). T is the sum of the first 10 k, is t
a. > 2
b. between 1 and 2
c. between ½ and 1
d. between ¼ and ½
e. < ¼

If (1/5)m(1/4)18 = 1/2(10)35, m?
1/5*1/4*18*m = 5*35
(18/20)*m = 175
9m/10 = 175
9m = 1750
m = 1750/9
m = 194.4

Are you sure about the equation and the answer choices?

2)What is the question?

Correction to Okigbo's post:

The first question should read (1/5)^(m)*(1/4)^(18)=1/(2*10^35)

It can be solved in the following manner:

1/5^m*1/(2^2)^(18)=1/2*5^35*2^35

1/5^m*1/2^(36)=1/2^36*5^35

Compare both sides to get m=35.

Can someone explain the answer to 2nd question also? I know the answer is d) between 1/4 and 1/2 but don't understand how

2nd question is explained here

https://www.beatthegmat.com/gmat-prep-qu ... 21502.html