Evaluate the expression.
10x^3y^-5z^-2
if x=3, y=2, z=5
To evaluate the expression 10x^3y^-5z^-2, substitute the given values of x, y, and z into the expression.
Step 1: Substitute x = 3, y = 2, and z = 5 into the expression.
10(3)^3(2)^(-5)(5)^(-2)
Step 2: Simplify each term using the given values.
10(3)^3 = 10(27) = 270
(2)^(-5) = 1/(2^5) = 1/32
(5)^(-2) = 1/(5^2) = 1/25
Step 3: Plug the simplified values back into the original expression.
270 * (1/32) * (1/25)
Step 4: Simplify the resulting expression.
270 * 1/32 * 1/25 = 0.3375
Therefore, when x = 3, y = 2, and z = 5, the expression 10x^3y^-5z^-2 evaluates to 0.3375.