Which is larger, 5^7 or 7^5?
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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.
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