An expression is shown.


(3/4)^2 * (3/4)^5











Which of the following is equivalent to the expression shown?

1 answer

To simplify the expression \((3/4)^2 \times (3/4)^5\), we can use the property of exponents that states \(a^m \times a^n = a^{m+n}\).

Here, we have:

\[ (3/4)^2 \times (3/4)^5 = (3/4)^{2+5} \]

Now we add the exponents:

\[ 2 + 5 = 7 \]

So,

\[ (3/4)^2 \times (3/4)^5 = (3/4)^7 \]

Thus, the expression is equivalent to \((3/4)^7\).