Would someone help me through this one...?

(-10rs^9t4/2rs^2t^7)^3

Of course! I'd be happy to help you simplify the expression:

To simplify the given expression (-10rs^9t^4/2rs^2t^7)^3, we can apply exponents and division properties.

Step 1: Divide the numerator and denominator by 2 to simplify the fraction within the parentheses:
(-10rs^9t^4 / 2rs^2t^7) = (-5rs^7t^-3)

Step 2: Now we need to raise the simplified fraction to the power of 3:
(-5rs^7t^-3)^3

To raise a power to a power, we multiply the exponents. So we need to multiply each exponent within the parentheses by 3:

-5^3 * r^3 * s^(7*3) * t^(-3*3)
= -125r^3s^21t^-9

So the simplified expression is -125r^3s^21t^-9.

If you have any further questions, feel free to ask!