Q. −(5c)0+71−22If c=0, what is the value of the given expression?
Evaluate (5c)0: We are given the expression −(5c)0+71−22 and the condition that c is not equal to zero. We need to evaluate the expression step by step.First, we will evaluate the term (5c)0.Any non-zero number raised to the power of 0 is 1.Therefore, (5c)0=1.
Consider Negative Sign: Now we will consider the negative sign in front of (5c)0. The expression becomes −(5c)0 which is −1.
Evaluate 71: Next, we evaluate 71. Any number raised to the power of 1 is the number itself. Therefore, 71=7.
Evaluate 22: Finally, we evaluate 22. 2 squared is 2×2, which equals 4. Therefore, 22=4.
Combine Evaluated Parts: Now we will combine all the evaluated parts of the expression. The expression becomes −1+7−4.
Perform Addition and Subtraction: We perform the addition and subtraction from left to right.First, we add −1 and 7, which gives us 6.Then we subtract 4 from 6, which gives us 2.Therefore, the final value of the expression is 2.
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