162k views
25 votes
(-64)^(1/2) evaluated?

User Earle
by
5.4k points

2 Answers

5 votes

Answer:

8i

Explanation:

When a quantity is raised to a fractional power, you need to root it to the power of the denominator.

For example, (-64)^(1/2) = √(-64)

Since you are taking the root of a negative, you will need to put an i (imaginary) in your answer.

User Jorge Quintana
by
5.9k points
5 votes

Answer:

8

Explanation:

Simplify the expression.

Rewrite 64 as 8^2

Apply the power rule and multiply exponents, (am^)n = a^mn

8^2(1/2)

Cancel the common factor of 2

Rewrite the expression.

8^1

Evaluate the exponent.

8

Hope that helps!

User Kechap
by
5.3k points