Question

evaluate the expression. do not round your answer. \\(\frac{1}{5}(27 - 2) - 1^4 = \square\\)

Explanation:

Step1: Calculate inside the parentheses

First, we solve the expression inside the parentheses: \(27 - 2 = 25\). So the expression becomes \(\frac{1}{5}(25)-1^{4}\).

Step2: Simplify the fraction multiplication

Next, we multiply \(\frac{1}{5}\) by \(25\). \(\frac{1}{5}\times25 = 5\). Now the expression is \(5 - 1^{4}\).

Step3: Evaluate the exponent

Then, we evaluate the exponent \(1^{4}\). Any number to the power of \(4\) is itself multiplied by itself four times, so \(1^{4}=1\times1\times1\times1 = 1\). The expression now is \(5 - 1\).

Step4: Subtract the remaining terms

Finally, we subtract: \(5 - 1 = 4\).

Answer:

\(4\)