Question

Which is larger, 5^7 or 7^5?​

Answer 1

Answer:

there is a trick my friend.In an expression like a^b, a is called the base while b is called the exponent.In 5^7, 5 is the base and 7 is the exponentIn 7^5, 7 is the base and 5 is the exponentNow, compare the values of bases with that of e (2.716), whichever base is closer to it, that expression has a greater value.So, 5 is much closer to 2.716 than 7.

In an expression like a^b, a is called the base while b is called the exponent.In 5^7, 5 is the base and 7 is the exponentIn 7^5, 7 is the base and 5 is the exponentNow, compare the values of bases with that of e (2.716), whichever base is closer to it, that expression has a greater value.So, 5 is much closer to 2.716 than 7.Hence, 5^7 is greater than 7^5.

ok ...................