Evaluate each exponential expression: 2^(-4) + 4^(-1)

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Rewrite each term with a negative exponent using the property of exponents: a^(-n) = 1/(a^n). For the first term, rewrite 2^(-4) as 1/(2^4). For the second term, rewrite 4^(-1) as 1/(4^1).

Simplify the denominators of each fraction. For 1/(2^4), calculate 2^4, which means multiplying 2 by itself 4 times. For 1/(4^1), calculate 4^1, which is simply 4.

Substitute the simplified values of the denominators back into the fractions. This will give you two fractions to add together.

Find a common denominator for the two fractions. The denominators are powers of 2, so determine the least common multiple (LCM) of the denominators.

Rewrite each fraction with the common denominator, then add the numerators together. Simplify the resulting fraction if possible.

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Pratica correlata

Domanda del libro di testo

Multiply or divide as indicated. $\frac{x + 5}{7}\) $\div$ \(\frac{4x + 20}{9}$