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 \((\frac{3}{4})^2 \times (\frac{3}{4})^5\), you can use the property of exponents that states \(a^m \times a^n = a^{m+n}\).

In this case, you have:

\[ (\frac{3}{4})^2 \times (\frac{3}{4})^5 = (\frac{3}{4})^{2+5} = (\frac{3}{4})^7 \]

Thus, the expression \((\frac{3}{4})^2 \times (\frac{3}{4})^5\) is equivalent to \((\frac{3}{4})^7\).