An expression is shown.

Question

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











Which of the following is equivalent to the expression shown?

Answer 1

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 $(3/4{)}^7$.