Problem 22 - Elementary Algebra

Question

For the following problems, write each of the quantities using exponential notation. \((21-x)\) cubed plus \((x+5)\) to the seventh

Step-by-Step Solution

Answer

Question: Simplify the expression given by converting each quantity (term) into exponential notation: (21-x) cubed + (x+5) to the seventh. Answer: (21-x)^3 + (x+5)^7

Step 1: Rewrite the first term in exponential notation

The term \((21-x)\) cubed can be rewritten using exponential notation as \((21-x)^3\).

Step 2: Rewrite the second term in exponential notation

The term \((x+5)\) to the seventh can be rewritten using exponential notation as \((x+5)^7\).

Step 3: Combine both terms into a single expression

Now that we have both terms in exponential notation, we can write the expression as: \((21-x)^3 + (x+5)^7\)