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Simplify 4^13÷3−^5

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11 answers

To simplify the expression \( 4^{13} \div 3 - 5 \), we can follow these steps:

  1. Calculate \( 4^{13} \).

    • First, notice that \( 4 = 2^2 \), so \( 4^{13} = (2^2)^{13} = 2^{26} \).

  2. Substitute this back into the expression: \[ \frac{2^{26}}{3} - 5 \]

  3. Since \( 2^{26} \) is quite a large number, it's helpful to evaluate \( 2^{26} \) directly: \[ 2^{26} = 67108864 \]

  4. Now evaluate \( \frac{67108864}{3} \): \[ 67108864 \div 3 \approx 22369621.33 \]

  5. Now subtract 5 from this: \[ 22369621.33 - 5 = 22369616.33 \]

So, the final simplified result of the expression \( 4^{13} \div 3 - 5 \) is approximately: \[ \boxed{22369616.33} \]

i'm not a adroid dude i'm a human asking yousimpler verison no symbols

Sure! Let's simplify your expression step by step in plain words:

  1. Start with four raised to the thirteenth power. This is a very large number.
  2. Divide that large number by three. You will get a result that is still quite large.
  3. From that result, subtract five.

So the process is:

  • Calculate four to the power of thirteen,
  • Divide that result by three,
  • Finally, subtract five from that value.

If you need the exact numerical answer, just let me know, and I can calculate that for you!

need the answer silly

I apologize for not providing the final answer initially! Let’s calculate it step by step once more and get the final result.

  1. Calculate \(4^{13}\):

    • \(4^{13}\) equals 67,108,864.

  2. Divide by 3:

    • \(67,108,864 \div 3\) equals 22,369,621.3333 (if you carry out the division).

  3. Subtract 5:

    • Now subtract 5: \(22,369,621.3333 - 5\) equals 22,369,616.3333.

So, the final answer is approximately 22,369,616.33 (if you round to two decimal places).

cutie your not understanding here's the question in words for my little baby bot
4 to the power of 13 divided by 3- to the power of 5
that better for you

Thank you for clarifying your question! Understood now as "four to the power of thirteen divided by three minus five."

Let’s break it down step by step:

  1. Calculate four to the power of thirteen:

    • Four to the power of thirteen is 67,108,864.

  2. Divide by three:

    • When you divide 67,108,864 by three, you get 22,369,621.3333.

  3. Now, from this result, subtract five:

    • Subtracting five gives you 22,369,616.3333.

So, the final result is approximately 22,369,616.33.

If you have any more questions or need further clarification, feel free to ask!

3- to the power of 5 at the end

Thank you for your patience, and I appreciate you clarifying! Let's calculate it with "four to the power of thirteen divided by three minus three to the power of five."

  1. Calculate four to the power of thirteen:

    • Four to the power of thirteen is 67,108,864.

  2. Divide by three:

    • When you divide 67,108,864 by three, you get approximately 22,369,621.33.

  3. Now calculate three to the power of five:

    • Three to the power of five is 243.

  4. Finally, subtract three to the power of five from the previous result:

    • So, \(22,369,621.33 - 243\) equals approximately 22,369,378.33.

The final answer is approximately 22,369,378.33. Thank you for your understanding, and let me know if you have any other questions!

and how the heck did you you get that big number there

Let’s go over how we calculate four to the power of thirteen step by step, as it seems the large number may have caused some confusion.

Step-by-Step Calculation of \(4^{13}\):

  1. Understand Power Notation:

    • “Four to the power of thirteen” means multiplying four by itself thirteen times.

  2. Calculate it Incrementally:

    • \(4^1 = 4\)
    • \(4^2 = 4 \times 4 = 16\)
    • \(4^3 = 4 \times 4 \times 4 = 64\)
    • \(4^4 = 4 \times 4 \times 4 \times 4 = 256\)
    • \(4^5 = 4 \times 256 = 1,024\)
    • \(4^6 = 4 \times 1,024 = 4,096\)
    • \(4^7 = 4 \times 4,096 = 16,384\)
    • \(4^8 = 4 \times 16,384 = 65,536\)
    • \(4^9 = 4 \times 65,536 = 262,144\)
    • \(4^{10} = 4 \times 262,144 = 1,048,576\)
    • \(4^{11} = 4 \times 1,048,576 = 4,194,304\)
    • \(4^{12} = 4 \times 4,194,304 = 16,777,216\)
    • \(4^{13} = 4 \times 16,777,216 = 67,108,864\)

So, \(4^{13}\) is indeed 67,108,864.

The Full Calculation:

Now let’s go through your entire expression again:

  1. Divide \(67,108,864\) by \(3\): \[ \frac{67,108,864}{3} \approx 22,369,621.33 \]

  2. Calculate \(3^5\):

    • \(3 \times 3 \times 3 \times 3 \times 3 = 243\)

  3. Now, subtract \(243\) from \(22,369,621.33\): \[ 22,369,621.33 - 243 \approx 22,369,378.33 \]

So, the final result is approximately 22,369,378.33.

If you have more questions or if anything else seems unclear, please let me know!