Question - Simplifying Exponential Expressions
mathexponents propertiessimplify exponential expressionsquotient rule for exponentsdivision rule for exponents
Solution:
To simplify the expression $$\frac{2^{n+1}}{2^n * 2}$$, you can use the properties of exponents.Here is how you can simplify it step by step:1. The expression $$\frac{2^{n+1}}{2^n * 2}$$ can be rewritten by separating the terms in the denominator, so you have $$\frac{2^{n+1}}{2^n \cdot 2^1}$$.2. Now you can apply the quotient rule for exponents, which states that when dividing like bases, you subtract the exponents: $$\frac{2^{n+1}}{2^n}$$ becomes $$2^{(n+1)-n} = 2^1 = 2$$.3. So now you have $$2 \div 2^1$$.4. Applying the division rule for exponents again (or recognizing that any number divided by itself is 1), you have $$2^1 \div 2^1 = 2^{1-1} = 2^0 = 1$$.The simplified form of the expression is $$1$$.
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