Q. Simplify. Express your answer as a single fraction in simplest form. b45+b
Find Common Denominator: To combine the terms into a single fraction, we need to find a common denominator. The first term has a denominator of b4, and the second term has an implied denominator of 1. The common denominator will be b4.
Rewrite Second Term: We rewrite the second term with the common denominator by multiplying both the numerator and the denominator by b4. b×(b4b4)=b4b5
Combine with Common Denominator: Now we rewrite the entire expression with the common denominator: egin{equation}\left(\frac{5}{b^4}\right) + \left(\frac{b^5}{b^4}\right)\end{equation}
Combine Numerators: Combine the numerators over the common denominator: (5+b5)/b4
Check for Simplification: The expression is now a single fraction. We check to see if the numerator and denominator have any common factors that can be simplified. Since 5 and b5 do not have any common factors, the fraction is already in simplest form.
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