Answer:
Step-by-step explanation:
This problem is all about bases and exponents. Because we have a quotient and the bases are both 5's, that means that we can use the rule of exponents for quotients to rewrite and simplify:
[tex]\frac{5^{10}}{5^{12}}=5^{10-12}=5^{-2}[/tex]
That's the simplification as long as you are "allowed" to leave the exponent as a negative number.
The needed form of the given expression is [tex]5^{-2}[/tex]
Given expression is:
[tex]\dfrac{5^{10}}{5^{12}}[/tex]
To convert this into [tex]5^n[/tex] form, we can proceed as follows:
Since bases are same in numerator and denominator = 5, thus we can do direct subtraction of exponents to simulate division.
Thus,
[tex]\dfrac{5^{10}}{5^{12}} = 5^{10 - 12} = 5^{-2}[/tex]
Thus, the needed form of the given expression is [tex]5^{-2}[/tex]
Learn more about exponents here:
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