Thank you in advance for explaining the problem below.
If (1/5)^m times (1/4)^18 = 1/2(10)^35, then m = ?
a. 17
b. 18
c. 34
d. 35
e. 36
Thank you!
GMAT practice test PS problem
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((1/5)^m)*((1/4)^18)=1/(2(10)^35)
1/(5^m)(2^36)=1/(2(2^35)(5^35)
1/(5^m)(2^36)=1/(2^36)(5^35)
2^36 cancels out
1/5^m=1/5^35
Same base means you can drop it
m=35
Review exponent rules and recognize factors and this problem will look much easier
1/(5^m)(2^36)=1/(2(2^35)(5^35)
1/(5^m)(2^36)=1/(2^36)(5^35)
2^36 cancels out
1/5^m=1/5^35
Same base means you can drop it
m=35
Review exponent rules and recognize factors and this problem will look much easier