Question

solve for m, if (1/5)^m×(1/4)^18 = 1/2×10^35​

Answer 1

Answer:

m=35  if (1/5)^m×(1/4)^18 = 1/2×10^35​

Step-by-step explanation:

$(1/5)^{m} X (1/4)^{18} =1/(2 X 10^{35} )$ ;

⇒1/$5^{m}$×1/$2^{36}$=1/(2×$2^{35}$×$5^{35}$);

⇒1/$5^{m}$×1/$2^{36}$=1/($2^{36}$×$5^{35}$);

⇒1/$5^{m}$=1/$5^{35}$;

⇒$5^{m}$=$5^{35}$;

⇒m=35.