# 5+6-(7-√(64))^2-1 step by step

Evaluate Expression with Parentheses

• Evaluate the following numerical expression:

5 + 6 - (7 - √(64))² - 1

Simplify the expression by using the operations indicated to obtain a single numerical value.

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### Comments for 5+6-(7-√(64))^2-1 step by step

 Sep 09, 2012 Evaluate Expression by: Staff Answer: Part I 5 + 6 - (7 - √(64))² - 1 To simplify this expression, follow the steps indicated in the PEMDAS order of operations. PEMDAS order tells you what to do first, second, . . . etc. PEMDAS stands for: parentheses, exponents, multiplication, division, addition, subtraction. These steps must be evaluated in order. Step 1: evaluate PARENTHESES PEMDAS order of evaluation: PARENTHESES, exponents, multiplication, division, addition, subtraction There is one set of parentheses to evaluate. (If there were nested parentheses, you would evaluate the expression inside the inner parentheses first, and then evaluate the expression within the outer parentheses.) For this problem, the expression which must be evaluated first is shown in blue: 5 + 6 - (7 - √(64))² - 1 Follow the entire PEMDAS sequence inside the parentheses. Ignore the other parts of the expression for now. Step 2: evaluate EXPONENTS (within parentheses) PEMDAS order of evaluation: parentheses, EXPONENTS, multiplication, division, addition, subtraction 5 + 6 - (7 - √(64))² - 1 The square root is actually a fractional exponent. The expression (7 - √(64)) can be rewritten as follows: (7 - (64)½) However, the only thing to be done now (according to the PEMDAS order of operations) is to evaluate the exponent: (64)½ = 8 The expression inside the parentheses now looks like this: (7 - 8) Step 3: MULTIPLICATION (within parentheses) Remember, the only thing we are evaluating at this time is the expression within the parentheses using the PEMDAS order of operations. PEMDAS order of evaluation: parentheses, exponents, MULTIPLICATION, division, addition, subtraction There is no multiplication to be completed within the parentheses. Step 4: DIVISION (within parentheses) We are only concerned with the expression inside the parentheses. PEMDAS order of evaluation: parentheses, exponents, multiplication, DIVISION, addition, subtraction There are no parts of the expression inside the parentheses which require division. ----------------------------------