Question

How do you solve this?

Answer 1

Answer:

The answer is

${13}^{3}$

Step-by-step explanation:

$( {13})^{2}( {13})^{ - 4} ( {13})^{5}$

To solve the expression , use the rules of indices

Since the bases are the same and are multiplying we add the exponents

That's

${a}^{x} \times {a}^{y} \times {a}^{z} = {a}^{x + y + z}$

So we have

$( {13})^{2}( {13})^{ - 4} ( {13})^{5} = {13}^{2 - 4 + 5} \\ = {13}^{ - 2 + 5}$

We have the final answer as

${13}^{3}$

Hope this helps you