i see were u got that from but this 1 is confusing.
6 (index 3) square root of 36 times 2 (index 3)square root of 6
Please use the following for roots:
sqrt
cubroot
etc. Those, with parenthesis, make the problem clear.
6 cube root of 36 times 2 cube root of 6
6 cubrt 36 + 2 cubrt 6
I don't see that it can be combined.
Well according to my homework it said simplify...so wouldnt u multiply the outside numbers than the inside numbers...to get 12 cube root of 216, which would equal 72?
Yes.
To simplify the expression 6^(3√36) * 2^(3√6), you can follow these steps:
1. Simplify the cube root of 36: The cube root of 36 is equal to 6. Therefore, the expression becomes 6 * 6^(3√6) * 2^(3√6).
2. Multiply the outside numbers: Multiply 6 by 2 to get 12. The expression is now 12 * 6^(3√6) * 2^(3√6).
3. Multiply the inside numbers: The expression can be rewritten as (6 * 6)^(3√6) * (2 * 2)^(3√6). This simplifies to 36^(3√6) * 4^(3√6).
4. Simplify the bases: The cube root can be written as an exponent of 1/3. Therefore, the expression becomes 36^(1/3 * √6) * 4^(1/3 * √6).
5. Reorganize the expression: Now, you can rewrite the expression as (36^1/3 * 4^1/3)^(√6).
6. Evaluate the bases: Calculate the cube root of 36, which is equal to 3, and calculate the cube root of 4, which is equal to 2. The expression becomes (3 * 2)^(√6).
7. Simplify the exponent: The square root of 6 cannot be simplified further. Therefore, the final simplified expression is (6)^(√6).
So, the simplified expression for 6^(3√36) * 2^(3√6) is (6)^(√6).