Question

Squaroot of p^10 where p>0

Answer 1

p^5

Explanation:

p^10/2=p^5

Answer 2

Factor into perfect squares:

√p^10

√p²•p²•p²•p²•p²

Remember, this is equivalent to p^10 because the exponents add when the bases are the same.

Now, we can take the square root of each term by the square root property of multiplication: √a•b = √a•√b

So, because we now how exponents of 2 and we’re taking the square root of each term, the exponents and square roots will cancel, leaving just the bases.

√p²•p²•p²•p²•p²

p•p•p•p•p

Simplify:

p^5 is the answer.