Question

Which expression is equivalent to 81xy°? Assume x > 0 and y > 0.

A. 9x^2y^2
B. 81xy
C. 81y^2x
D. 9xy^2

Answer 1

The expression equivalent to 81xy° is B. 81xy.

Step-by-step explanation:

To find the equivalent expression for 81xy°, we need to understand that ° is the degree symbol, which represents a angle measure in degrees. Therefore, we need to find an expression that represents the product of x and y in degrees.

First, we can start by simplifying the expression 81xy° by multiplying both x and y by 100, since 81 is a hundred times 0.81.

81xy° = 81(100x) (100y)

= 8100x y

Now, we can see that the expression 8100x y is equivalent to 81xy, since 81 and 100x are constants that do not change the value of the expression. Therefore, the expression equivalent to 81xy° is B. 81xy.