Simplify open parentheses x to the 2 fifths power close parentheses to the 5 sixths power. a) x to the 37 over 30 power b) x to the 13 over 30 power c) x to the 10 elevenths power d) x to the 1 third power

The correct answer option is D) x to the 1 third power.

Step-by-step explanation:

Firstly, we will translate the given word expression (open parentheses x to the 2 fifths power close parentheses to the 5 sixths power) into mathematical expression:

Now to simplify this, we must recall the law of multiplying the powers:

So for the given expression, we will multiply the powers to get:

=

=

=

Therefore, the correct answer option is D) x to the 1 third power.

step-by-step explanation:

3 is greater then both of those numbers