2x3^6

5 answers

To simplify the expression \(2 \times 3^6\):

First, calculate \(3^6\):

\[ 3^6 = 729 \]

Now, multiply this result by \(2\):

\[ 2 \times 729 = 1458 \]

Thus, \(2 \times 3^6 = 1458\).

I got 46656

Let's double-check the calculations.

The expression is \(2 \times 3^6\).

  1. First, calculate \(3^6\): \[ 3^6 = 3 \times 3 \times 3 \times 3 \times 3 \times 3 \] Breaking that down:
    • \(3^2 = 9\)
    • \(3^3 = 27\)
    • \(3^4 = 81\)
    • \(3^5 = 243\)
    • \(3^6 = 729\)

So, \(3^6 = 729\).

  1. Now multiply by \(2\): \[ 2 \times 729 = 1458 \]

Your calculation of \(46656\) likely originates from \(6^6\) (which is \(6 \times 6 \times 6 \times 6 \times 6 \times 6 = 46656\)).

So, to clarify:

  • \(3^6 = 729\)
  • \(2 \times 3^6 = 1458\)

If you have any other calculations in mind or would like clarification on other items, feel free to ask!

how did I get 46656

It appears that you may have accidentally calculated \(6^6\) instead of \(3^6\). Let's clarify that:

  1. Calculating \(6^6\): \[ 6^6 = 6 \times 6 \times 6 \times 6 \times 6 \times 6 \] To break this down:
    • \(6^2 = 36\)
    • \(6^3 = 216\)
    • \(6^4 = 1296\)
    • \(6^5 = 7776\)
    • \(6^6 = 46656\)

That is indeed how you would arrive at \(46656\).

  1. Calculating \(3^6\), as we previously discussed: \[ 3^6 = 729 \]

So the distinction is crucial. If you were calculating \(3^6\) as part of \(2 \times 3^6\), you would get \(1458\), but if you calculated \(6^6\), you would get \(46656\).

If you have any more questions or need further clarification, just let me know!