Question

Which expression is the simplified form of the square root of m to the eighth power.?

m4

m4the square root of m.

m2

m2the square root of m.

Answer 1

Whether it is \(\sqrt{m^8}\) or \((sqrt{m})^8\) doesn't matter, because the two are equal.
Then maybe it is easier to deal with the second: \[(\sqrt{m})^8=\sqrt{m} \cdot \sqrt{m} \cdot \sqrt{m} \cdot \sqrt{m} \cdot \sqrt{m} \cdot \sqrt{m} \cdot \sqrt{m} \cdot \sqrt{m} =\]\[( \sqrt{m} \cdot \sqrt{m}) \cdot( \sqrt{m} \cdot \sqrt{m}) \cdot( \sqrt{m} \cdot \sqrt{m}) \cdot( \sqrt{m} \cdot \sqrt{m})=\]Do you know what is \[\sqrt{m} \cdot \sqrt{m}\]

Answer 2

m^2?

Answer 3

No, that is the answer of m*m

Answer 4

What do you get when you do this:\[\sqrt{25}\cdot \sqrt{25}\]