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Leokris [45]
3 years ago
11

20. (01.03 MC) What is the simplified expression ? (1 point)

Mathematics
1 answer:
ahrayia [7]3 years ago
4 0

Answer:

\displaystyle 3^2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Exponential Rule [Multiplying]: \displaystyle b^m \cdot b^n = b^{m + n}
  • Exponential Rule [Dividing]: \displaystyle \frac{b^m}{b^n} = b^{m - n}

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{3^3 \cdot 3^3}{3^4}<u />

<u />

<u>Step 2: Simplify</u>

  1. [ER] Multiply:                    \displaystyle \frac{3^{3+3}}{3^4}
  2. Add Exponents:               \displaystyle \frac{3^6}{3^4}
  3. [ER] Divide:                      \displaystyle 3^{6 - 4}
  4. Subtract Exponents:       \displaystyle 3^2
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Explanation:

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3) Since the first term of the first factor starts with 3s, the first term of the second factor shall be 2s (since they have to yield 6s²). Then, you can write:

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4) The second term of the missing factor is positive because the product (+)(-) = (-) which is the sign of the third term of the polynomial.

5) The second term is such that when multiplied by - 5 is equal to the last term of the polynomial (also - 5), so this second terms is +1.

And you get: 6s² - 7s- 5 = (3s - 5) (2s +  1)

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