Answer:
x^12
Explanation:
When multiplying exponents, the rule below is followed.
![x^a * x^b= x^(a+b)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ppahcb8ix9twbvw203mehvnp8qgvge4osb.png)
Basically, the base remains the same, but the numbers in the exponents are added.
We are given:
![x^5*x^7](https://img.qammunity.org/2021/formulas/mathematics/high-school/j4g3x7o0wnykcki2gv7d4kaoiqpz42ovu6.png)
We leave the base (x)as is, and add the numbers in the exponents (5 and 7).
![x^5*x^7\\](https://img.qammunity.org/2021/formulas/mathematics/high-school/80hsj0fg89cxg4mlq33a00yzeg1kuelf9f.png)
![x^{5+7](https://img.qammunity.org/2021/formulas/mathematics/high-school/z6oo3mq4b2qjykt7209yqv2hbfp1lrsxvo.png)
![x^(12)](https://img.qammunity.org/2021/formulas/mathematics/high-school/sf7qu34359yxdxhvrwzd5js4gvmicqnwet.png)
The expression
can be simplified as:
![x^{12{](https://img.qammunity.org/2021/formulas/mathematics/high-school/ntjbo972gu5n6kwk8ywb23n55xlc39np03.png)