Can someone please help me with this

9514 1404 393

  (C)   x^38

Step-by-step explanation:

The explanation speaks for itself. It is a restatement of the Order of Operations as it applies to this expression.

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Written in plain text, the expression is ...

  ((x^6·x^10)/(x^-3))^2

The order of operations requires you evaluate the inner parentheses first. The exponential terms cannot be simplified, so you perform the product. The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

So, you now have ...

  ((x^(6+10))/(x^-3))^2 = (x^16/x^-3)^2

Again, you perform the division inside parentheses before anything else. The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

So, you have ...

  (x^(16-(-3)))^2 = (x^19)^2

Now, you can perform the exponentiation. The applicable rule of exponents is ...

  (a^b)^c = a^(bc)

So, the final simplification is ...

  (x^19)^2 = x^(19·2) = x^38

Comment on exponent rules

The rules of exponents follow directly from the fact that an exponent is a representation of repeated multiplication.

Product rule:

  (x^2)(x^3) = (x·x)(x·x·x) = x·x·x·x·x = x^(2+3) = x^5

Quotient rule:

  (x^3)/(x^2) = (x·x·x)/(x·x) = x = x^(3-2) = x^1

Power rule:

  (x^3)^2 = (x·x·x)^2 = (x·x·x)(x·x·x) = x^(3·2) = x^6

step-by-step explanation:

hjkj

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol