Question 1066037

Of the numbers in the set { 3^5000, 4^4000, 5^3000, 6^2000, 7^1000}, the largest is:
<pre>You just need to get all expressions with the SAME EXPONENT, as follows:
{{{matrix(1,5, 3^"5,000", "======>", 3^"5(1,000)", "=====>", 243^"1,000")}}}
{{{matrix(1,5, 4^"4,000", "======>", 4^"4(1,000)", "=====>", 256^"1,000")}}}
{{{matrix(1,5, 5^"3,000", "======>", 5^"3(1,000)", "=====>", 125^"1,000")}}}
{{{matrix(1,5, 6^"2,000", "======>", 6^"2(1,000)", "=====>", 36^"1,000")}}}
{{{matrix(1,5, 7^"1,000", "======>", 7^"1(1,000)", "=====>", 7^"1,000")}}}
Since all are raised to the same power (1,000) it’s extremely easy to determine which is largest. 
Besides, you can answer other questions related to size of each, and comparisons.
That's how simple this is!