Scelta multipla
Rewrite the expression with NO negative exponents.
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6. Exponents and Polynomials
Negative Exponents
Scelta multipla
Simplify the expression with NO negative exponents.
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Identify the expression to simplify: \(2^{-1} + 4^{-1}\). Negative exponents mean the reciprocal of the base raised to the positive exponent.
Rewrite each term with positive exponents by using the rule \(a^{-n} = \frac{1}{a^n}\). So, \(2^{-1} = \frac{1}{2}\) and \(4^{-1} = \frac{1}{4}\).
Now the expression becomes \(\frac{1}{2} + \frac{1}{4}\). To add these fractions, find a common denominator. The least common denominator of 2 and 4 is 4.
Convert \(\frac{1}{2}\) to an equivalent fraction with denominator 4: \(\frac{1}{2} = \frac{2}{4}\). Now add the fractions: \(\frac{2}{4} + \frac{1}{4}\).
Add the numerators while keeping the denominator the same: \(\frac{2 + 1}{4} = \frac{3}{4}\). This is the simplified expression with no negative exponents.
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