Are the two statements equivalent? explain your reasoning. the ratio of boys to girls is 2 to 3. the ratio of girls to boys is 3 to 2.

yes; the number of boys and girls is the same in each statement.
yes; the ratio can be written as 2: 3.
no; the numbers of boys and girls differ from one statement to the next.
no; although the relative number of boys and girls are the same, the two ratios are inverses.

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!