Math  /  Numbers & Operations

QuestionEvalúa la expresión 43+[(96÷8)×5]424^{3}+[(96 \div 8) \times 5]-42.

Studdy Solution

STEP 1

1. The expression to evaluate is 43+[(96÷8)×5]42 4^{3} + [(96 \div 8) \times 5] - 42 .
2. We will follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

STEP 2

1. Evaluate the exponent.
2. Evaluate the expression inside the brackets.
3. Perform the addition and subtraction.

STEP 3

Evaluate the exponent 43 4^{3} .
43=4×4×4=64 4^{3} = 4 \times 4 \times 4 = 64

STEP 4

Evaluate the division inside the brackets.
96÷8=12 96 \div 8 = 12

STEP 5

Multiply the result by 5 5 .
12×5=60 12 \times 5 = 60

STEP 6

Substitute the evaluated parts back into the expression and perform the addition and subtraction.
64+6042 64 + 60 - 42

STEP 7

First, perform the addition.
64+60=124 64 + 60 = 124

STEP 8

Now, perform the subtraction.
12442=82 124 - 42 = 82
The value of the expression is:
82\boxed{82}

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