Answer: 5^{11} - 9 = 5^{11} - 9 Explanation: The problem involves evaluating an exponential expression and then performing a simple subtraction. The key concept here is understanding the properties of exponents and recognizing that the expression is straightforward: it asks for the value of 5 raised to the 11th power, minus 9. No complex theorems are necessary beyond basic exponentiation and subtraction. Steps: Recognize the expression: $5^{11} - 9$. Since $5^{11}$ is an exponential expression, it remains as is unless explicitly asked to compute its numerical value. The expression simplifies to: \[ 5^{11} - 9 \] To find the exact numerical value, compute $5^{11}$: \[ 5^{11} = 5 \times 5^{10} \] and $5^{10} = (5^5)^2$. Calculate $5^5$: \[ 5^5 = 5 \times 5^4 = 5 \times (5^3 \times 5) = 5 \times (125 \times 5) = 5 \times 625 = 3125 \] Therefore, \[ 5^{10} = (5^5)^2 = 3125^2 = 9,765,625 \] Now, \[ 5^{11} = 5 \times 9,765,625 = 48,828,125 \] Subtract 9: \[ 48,828,125 - 9 = 48,828,116 \] Final result: \[ \boxed{48,828,116} \] Note: If the question only asks for the simplified expression, the answer is simply $5^{11} - 9$. If a numerical value is required, it is 48,828,116.

What is the number who chose Italian dressing?

Answer: The number of customers who chose Italian dressing is 90. Explanation: This problem involves understanding the distribution of salad dressing choices among customers, which is represented by a circle graph (pie chart). The key concepts involved are percentage calculations and proportions. The problem asks to find the difference in the number of customers choosing Italian dressing and vinaigrette dressing, given the total number of customers and the percentage distribution. The method involves: Calculating the number of customers for each dressing based on the percentage. Finding the difference between the two numbers. Steps: Identify the total number of customers: Total customers = 200 Determine the percentage for Italian dressing: From the table, Italian dressing = 45% Calculate the number of customers who chose Italian dressing: \[ \text{Number of Italian dressing customers} = \frac{45}{100} \times 200 = 0.45 \times 200 = 90 \] Determine the percentage for Vinaigrette dressing: Vinaigrette = 30% Calculate the number of customers who chose Vinaigrette dressing: \[ \frac{30}{100} \times 200 = 0.30 \times 200 = 60 \] Find the difference between Italian and Vinaigrette dressing customers: \[ 90 - 60 = 30 \] Question asks for the difference between the number who chose Italian dressing and the number who chose vinaigrette dressing: The difference is 30. Note: The question also mentions the number who chose vinaigrette dressing, but the main calculation is to find the number for Italian dressing, which is 90.

Answer: 5^{11} - 9 = 5^{11} - 9 Explanation: The problem involves evaluating an exponential expression and then performing a simple subtraction. The key concept here is understanding the properties of exponents and recognizing that the expression is straightforward: it asks for the value of 5 raised to the 11th power, minus 9. No complex theorems are necessary beyond basic exponentiation and subtraction. Steps: Recognize the expression: $5^{11} - 9$. Since $5^{11}$ is an exponential expression, it remains as is unless explicitly asked to compute its numerical value. The expression simplifies to: \[ 5^{11} - 9 \] To find the exact numerical value, compute $5^{11}$: \[ 5^{11} = 5 \times 5^{10} \] and $5^{10} = (5^5)^2$. Calculate $5^5$: \[ 5^5 = 5 \times 5^4 = 5 \times (5^3 \times 5) = 5 \times (125 \times 5) = 5 \times 625 = 3125 \] Therefore, \[ 5^{10} = (5^5)^2 = 3125^2 = 9,765,625 \] Now, \[ 5^{11} = 5 \times 9,765,625 = 48,828,125 \] Subtract 9: \[ 48,828,125 - 9 = 48,828,116 \] Final result: \[ \boxed{48,828,116} \] Note: If the question only asks for the simplified expression, the answer is simply $5^{11} - 9$. If a numerical value is required, it is 48,828,116.

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Solve 5^11 – 9 = ?

Solve 5^11 – 9 = ?

Answer

Answer: 5^{11} – 9 = 5^{11} – 9

Explanation:
The problem involves evaluating an exponential expression and then performing a simple subtraction. The key concept here is understanding the properties of exponents and recognizing that the expression is straightforward: it asks for the value of 5 raised to the 11th power, minus 9. No complex theorems are necessary beyond basic exponentiation and subtraction.

Steps:

Recognize the expression: $5^{11} - 9$ .
Since $5^{11}$ is an exponential expression, it remains as is unless explicitly asked to compute its numerical value.
The expression simplifies to:

5^{11} - 9

To find the exact numerical value, compute $5^{11}$ :

5^{11} = 5 \times 5^{10}

and

5^{10} = (5^5)^2

Calculate $$5^5$$ :

5^5 = 5 \times 5^4 = 5 \times (5^3 \times 5) = 5 \times (125 \times 5) = 5 \times 625 = 3125

Therefore,

5^{10} = (5^5)^2 = 3125^2 = 9,765,625

Now,

5^{11} = 5 \times 9,765,625 = 48,828,125

Subtract 9:

\[ 48,828,125 - 9 = 48,828,116 \]

Final result:

\boxed{48,828,116}

Note: If the question only asks for the simplified expression, the answer is simply $5^{11} - 9$ . If a numerical value is required, it is 48,828,116.

Rename 4 thousands 7 hundred = 47

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