The value of the exponents 5^3 * 5^-4 is 0.2
We have been the expression as
5^3 * 5^-4
Here we can see that in the second term in the above expression which is 5^-4, the power is negative which is -4.
We know that the numbers which have powers if reciprocated, the sign on the powers get changed. That is if the power is positive and reciprocated it will change to negative. And if it is negative it will convert into positive. So, 5^-4 can be written as 1/5^4.
Numerically, 5^-4 = 1/5^4
Now we can solve the expression as follows,
= 5^3 * 5^-4
= 5^3 * 1/5^4
=1/5^1
= 1/5
=0.2
Hence the value of the exponent is 0.2.
Learn more about exponents here : https://brainly.com/question/12033392
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