Which expression is equivalent to (2^1/2 x 2^3/4)^2 a. 4√2^3 b. √2^5 c. 4√4^3 d. √4^5 need correct answer asap

We basically use rules of indices or exponents on this one and simplify.

When we have same base to a power multiplied together, we add the exponents. So we have,

When we have power raised to a power, we multiply the powers. So we have,

Simplifying the fraction, we have

. Since the answer choices have a square root sign, this can be changed to include square roots and powers using the formula,

.

Now we can write as .

Just omit the 2 outside the square root sign as we don't need to write that due to convention. So we have . This is answer choice (B).

ANSWER: B

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.