Please rewrite this paragraph using more complex words and orrect spelling.

Physicist use exponents in their career to solve problems in areas such as energy, storage, electronics, communications, navigation, and probably a lot more. Without this specialty we wouldn't have things like transportation, construction, telecommunication.This career is important, because they help us organize and understand the universe a lot more.

Physicists employ exponents in their profession to tackle challenges in diverse disciplines such as energy, storage, electronics, communications, navigation, and many others. Absent their specialization, we would be deprived of advancements in transportation, construction, and telecommunication. Undoubtedly, this vocation assumes great significance as physicists aid in comprehending and organizing the vast intricacies of the universe.

Use the Product Rule of Exponents to simplify 5^10⋅5^5

To simplify the expression 5^10⋅5^5 using the Product Rule of Exponents, we add the exponents together since the base (5) is the same.

Thus, 5^10⋅5^5 can be simplified to 5^(10+5), which simplifies further to 5^15.

What is the missing exponent in the following equation?

h^450/h^? = h^215

To find the missing exponent in the equation h^450/h^? = h^215, we can apply the Quotient Rule of Exponents. According to this rule, when dividing two powers with the same base, we subtract the exponents.

In this case, the exponent 215 is the result of subtracting the missing exponent from 450. So, we have the equation 450 - ? = 215.

To solve for the missing exponent, we need to isolate the variable "?". By subtracting 450 from both sides of the equation, we get:

-? = 215 - 450

Simplifying the right side, we have:

-? = -235

To find the value of "?", we can multiply both sides of the equation by -1 to eliminate the negative sign:

? = 235

Therefore, the missing exponent is 235.

Simplify 12^87÷12^25

Physicists employ exponents in their field to tackle challenges in domains including energy, storage, electronics, communications, navigation, and potentially numerous others. Deprived of this specialized knowledge, we would lack necessities like transportation, construction, and telecommunication. This profession holds significant importance as it aids in arranging and comprehending the intricacies of the universe.