Answer:
The answer is
[tex] {13}^{3} [/tex]
Step-by-step explanation:
[tex]( {13})^{2}( {13})^{ - 4} ( {13})^{5} [/tex]
To solve the expression , use the rules of indices
Since the bases are the same and are multiplying we add the exponents
That's
[tex] {a}^{x} \times {a}^{y} \times {a}^{z} = {a}^{x + y + z} [/tex]
So we have
[tex]( {13})^{2}( {13})^{ - 4} ( {13})^{5} = {13}^{2 - 4 + 5} \\ = {13}^{ - 2 + 5} [/tex]
We have the final answer as
[tex] {13}^{3} [/tex]
Hope this helps you
