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Evaluate the following expression.
5+3(42+7)-7(2+32*8)0

Sagot :

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Answer:

The value of the expression

[tex](5 + 3(4^2 + 7) - 7(2 + 3^2 \times 8) \times 0) \: is \: \boxed{ 74.}[/tex]

Step-by-step explanation:

1. Evaluate the exponents:

[tex]4^2 = 16 \quad \text{and} \quad 3^2 = 9[/tex]

2. Substitute the values back into the expression:

[tex]5 + 3(16 + 7) - 7(2 + 9 \times 8) \times 0[/tex]

3. Evaluate the expressions inside the parentheses:

[tex]16 + 7 = 23 \quad \text{and} \quad 9 \times 8 = 72[/tex]

[tex]5 + 3(23) - 7(2 + 72) \times 0[/tex]

4. Evaluate the remaining expressions inside the parentheses:

[tex]2 + 72 = 74[/tex]

[tex]5 + 3(23) - 7(74) \times 0[/tex]

5. Multiply the values:

[tex]{3 \times 23 = 69 \quad \text{and} \quad 7 \times 74 = 518}[/tex]

[tex]5 + 69 - 518 \times 0[/tex]

6. Since anything multiplied by 0 is 0:

[tex]518 \times 0 = 0[/tex]

[tex]5 + 69 - 0[/tex]

Finally, perform the addition and subtraction:

[tex]5 + 69 = 74[/tex]

[tex]74 - 0 = 74[/tex]