Question

Difference between (please just don't write the answers. Exlain why is ihat

(-6)^4

and

-6^4

Answer 1

See below

Explanation:

(-6)^4 means that you are raising the entire value inside the parenthesis to the power of 4. So, you are raising the number -6 to the power of 4, and that ends up as 1296. (Negative numbers to even powers are positive)

When evaluating -6^4, you need to be more careful. Because, in the order of operations, exponent comes before multiplication. First you need to raise only 6 to the power of 4, not -6 like the expression before. Then, after you do that, you multiply by -1 or the negative sign. The answer to this one would be -1296.

Hope this helps a bit :)