Question

which of the following is equivalent to (a1/2 times b1/3)^1/2?

a. a times b 5/6

b. a 1/2 times b 2/5

c. a times b 1/5

d. a 1/4 times b 1/6

Answer 1

why

Answer 2

b. a 1/2 times b 2/5

Answer 3

To simplify the expression (a^(1/2) * b^(1/3))^(1/2), we can use the properties of exponents. When raising an exponent to another exponent, we need to multiply the exponents.

Therefore, (a^(1/2) * b^(1/3))^(1/2) = a^(1/2 * 1/2) * b^(1/3 * 1/2) = a^(1/4) * b^(1/6)

This simplifies to a^(1/4) * b^(1/6), which corresponds to option b.