Simplify the expression with NO negative exponents.
$2^{-1}+4^{-1}$

• A. $\frac{1}{6}$
• B. $6$
• C. $\(\frac\)34$
• D. $\(\frac\)43$

Answer: (C)

Verified step by step guidance

1. Identify the expression to simplify: \$2^{-1} + 4^{-1}$.
2. Recall that a negative exponent means the reciprocal of the base raised to the positive exponent, so rewrite each term without negative exponents: \(2^{-1} = \frac{1}{2}\) and \(4^{-1} = \frac{1}{4}\).
3. Rewrite the expression as a sum of fractions: \(\frac{1}{2} + \frac{1}{4}\).
4. Find a common denominator for the fractions. The least common denominator of 2 and 4 is 4.
5. Convert \(\frac{1}{2}\) to an equivalent fraction with denominator 4, then add the fractions: \(\frac{2}{4} + \frac{1}{4} = \frac{3}{4}\).