caicoloestimo Calcola mentaimente il valore delle espressioni. $$ 4(112-47)^{2}+1= $$ $$ t^{2}+(40-5)=11 $$ $$ 8: 4+6 \times 3= $$ $$ \qquad $$ b. $$ 100:\left(8^{8} \times 5-0\right)^{2} $$ $$ \left(5^{3}+7\right)^{2}-48= $$ $$ (7 \times 7-3)^{2}-14= $$ $$ \left(3^{0} \times 8-1\right)^{0}+18= $$ $$ \qquad $$ $$ (2-0)^{0}+6= $$ $$ 4+(1+3) \times 5= $$

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Calculate the value by following steps:
- step0: Calculate:
  $$4+\left(1+3\right)\times 5$$
- step1: Add the numbers:
  $$4+4\times 5$$
- step2: Multiply the numbers:
  $$4+20$$
- step3: Add the numbers:
  $$24$$
Calculate or simplify the expression $$ (7*7-3)^{2}-14 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(7\times 7-3\right)^{2}-14$$
- step1: Multiply the numbers:
  $$\left(49-3\right)^{2}-14$$
- step2: Subtract the numbers:
  $$46^{2}-14$$
- step3: Evaluate the power:
  $$2116-14$$
- step4: Subtract the numbers:
  $$2102$$
Calculate or simplify the expression $$ 100/(8^{8}*5-0)^{2} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{100}{\left(8^{8}\times 5-0\right)^{2}}$$
- step1: Multiply the terms:
  $$\frac{100}{\left(5\times 8^{8}-0\right)^{2}}$$
- step2: Remove 0:
  $$\frac{100}{\left(5\times 8^{8}\right)^{2}}$$
- step3: Evaluate the power:
  $$\frac{100}{25\times 8^{16}}$$
- step4: Reduce the fraction:
  $$\frac{1}{2^{46}}$$
Calculate or simplify the expression $$ (5^{3}+7)^{2}-48 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(5^{3}+7\right)^{2}-48$$
- step1: Add the numbers:
  $$132^{2}-48$$
- step2: Evaluate the power:
  $$17424-48$$
- step3: Subtract the numbers:
  $$17376$$
Solve the equation $$ t^{2}+(40-5)=11 $$.
Solve the equation(The complex numbers system) by following steps:
- step0: Solve using square roots:
  $$t^{2}+\left(40-5\right)=11$$
- step1: Subtract the numbers:
  $$t^{2}+35=11$$
- step2: Add or subtract both sides:
  $$t^{2}=-24$$
- step3: Simplify the expression:
  $$t=\pm \sqrt{-24}$$
- step4: Simplify the expression:
  $$t=\pm \left(2\sqrt{6}\times i\right)$$
- step5: Separate into possible cases:
  $$\begin{align}&t=2\sqrt{6}\times i\&t=-2\sqrt{6}\times i\end{align}$$
- step6: Rewrite:
  $$t_{1}=-2\sqrt{6}\times i,t_{2}=2\sqrt{6}\times i$$
- step7: Remove the complex number(s):
  $$\textrm{No real solution}$$
Calculate or simplify the expression $$ 4*(112-47)^{2}+1 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$4\left(112-47\right)^{2}+1$$
- step1: Subtract the numbers:
  $$4\times 65^{2}+1$$
- step2: Multiply the terms:
  $$16900+1$$
- step3: Add the numbers:
  $$16901$$
Calculate or simplify the expression $$ 8/4+6*3 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{8}{4}+6\times 3$$
- step1: Divide the terms:
  $$2+6\times 3$$
- step2: Multiply the numbers:
  $$2+18$$
- step3: Add the numbers:
  $$20$$
Calculate or simplify the expression $$ (3^{0}*8-1)^{0}+18 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(3^{0}\times 8-1\right)^{0}+18$$
- step1: Evaluate the power:
  $$\left(1\times 8-1\right)^{0}+18$$
- step2: Evaluate the power:
  $$1+18$$
- step3: Add the numbers:
  $$19$$
Calculate or simplify the expression $$ (2-0)^{0}+6 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(2-0\right)^{0}+6$$
- step1: Evaluate the power:
  $$1+6$$
- step2: Add the numbers:
  $$7$$
Ecco i risultati delle espressioni calcolate:

1. **Calcolo di $$ 4(112-47)^{2}+1 $$**:
   $$
   4(112-47)^{2}+1 = 4(65)^{2}+1 = 4 \times 4225 + 1 = 16900 + 1 = 16901
   $$

2. **Soluzione dell'equazione $$ t^{2}+(40-5)=11 $$**:
   $$
   t^{2} + 35 = 11 \implies t^{2} = 11 - 35 \implies t^{2} = -24
   $$
   Non ci sono soluzioni reali per questa equazione.

3. **Calcolo di $$ 8: 4+6 \times 3 $$**:
   $$
   8/4 + 6 \times 3 = 2 + 18 = 20
   $$

4. **Calcolo di $$ 100:\left(8^{8} \times 5-0\right)^{2} $$**:
   $$
   100/(8^{8} \times 5)^{2} = \frac{1}{2^{46}} \approx 1.421085 \times 10^{-14}
   $$

5. **Calcolo di $$ (5^{3}+7)^{2}-48 $$**:
   $$
   (125 + 7)^{2} - 48 = (132)^{2} - 48 = 17424 - 48 = 17376
   $$

6. **Calcolo di $$ (7 \times 7-3)^{2}-14 $$**:
   $$
   (49 - 3)^{2} - 14 = (46)^{2} - 14 = 2116 - 14 = 2102
   $$

7. **Calcolo di $$ (3^{0} \times 8-1)^{0}+18 $$**:
   $$
   (1 \times 8 - 1)^{0} + 18 = (7)^{0} + 18 = 1 + 18 = 19
   $$

8. **Calcolo di $$ (2-0)^{0}+6 $$**:
   $$
   (2)^{0} + 6 = 1 + 6 = 7
   $$

9. **Calcolo di $$ 4+(1+3) \times 5 $$**:
   $$
   4 + (4) \times 5 = 4 + 20 = 24
   $$

In sintesi, i risultati finali sono:
- $$ 4(112-47)^{2}+1 = 16901 $$
- $$ t^{2}+(40-5)=11 $$ ha **nessuna soluzione reale**.
- $$ 8: 4+6 \times 3 = 20 $$
- $$ 100:\left(8^{8} \times 5-0\right)^{2} \approx 1.421085 \times 10^{-14} $$
- $$ (5^{3}+7)^{2}-48 = 17376 $$
- $$ (7 \times 7-3)^{2}-14 = 2102 $$
- $$ (3^{0} \times 8-1)^{0}+18 = 19 $$
- $$ (2-0)^{0}+6 = 7 $$
- $$ 4+(1+3) \times 5 = 24 $$
Ecco i risultati delle espressioni calcolate: 1. $$ 4(112-47)^{2}+1 = 16901 $$ 2. $$ t^{2}+(40-5)=11 $$ **nessuna soluzione reale** 3. $$ 8: 4+6 \times 3 = 20 $$ 4. $$ 100:\left(8^{8} \times 5-0\right)^{2} \approx 1.421085 \times 10^{-14} $$ 5. $$ (5^{3}+7)^{2}-48 = 17376 $$ 6. $$ (7 \times 7-3)^{2}-14 = 2102 $$ 7. $$ (3^{0} \times 8-1)^{0}+18 = 19 $$ 8. $$ (2-0)^{0}+6 = 7 $$ 9. $$ 4+(1+3) \times 5 = 24 $$

caicoloestimo Calcola mentaimente il valore delle espressioni.

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