Answer:
[tex]2^5[/tex]
Step-by-step explanation:
Properties of exponents:
Quotient of power ( when the bases are different and the exponents are the same : [tex]\frac{a^m}{b^m} =(\frac{a}{b} )^2[/tex] )
Explanation of property. When exponents are being divided, if the exponents are the same but the bases are different then divide the bases and keep the exponents the same
We want to find [tex]\frac{10^5}{5^5}[/tex]
Because they have the same exponent but different bases we can use the property stated earlier where you divide the bases and keep the exponent the same.
The bases are 10 and 5. 10 is being divided by 5 so we do 10/5 which equals 2. The property says to keep the exponent the same so the answer is [tex]2^5[/tex]
