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Degger [83]
2 years ago
8

Simplify each expression: ( 5a^2b^3)(4ab^5)

Mathematics
2 answers:
DIA [1.3K]2 years ago
5 0

Answer:

(22•5a3b4)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

4ab • (5a2 • b3)

STEP

2

:

Multiplying exponential expressions :

2.1 a1 multiplied by a2 = a(1 + 2) = a3

Multiplying exponential expressions :

2.2 b1 multiplied by b3 = b(1 + 3) = b4

Final result :

(22•5a3b4)

4vir4ik [10]2 years ago
4 0

Answer:

20a^3 b^8

Step-by-step explanation:

( 5a^2b^3 ) ( 4ab^5 )

= ( 5 . a^2 . b^3 ) ( 4 . a . b^5 )

= ( 5 . 4 ) ( a^2 . a ) ( b^3 . b^5 )

= 20 ( a^2 . a^1 ) ( b^3 . b^5 )

= 20 ( a^( 2 + 1 ) ) ( b^( 3 + 5 ) )

= 20 ( a^3 ) ( b^8 )

= 20a^3 b^8

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Answer:

A. 34°

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

Equality Properties

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] tanθ = opposite over adjacent
  • Inverse Trig

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

Angle θ = <em>x</em>

Opposite leg AC = 24

Adjacent leg CB = 35

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [Tangent]:                                                                    \displaystyle tanx^\circ = \frac{24}{35}
  2. Inverse Trig [Tangent]:                                                                                     \displaystyle x^\circ = tan^{-1}(\frac{24}{35})
  3. Evaluate:                                                                                                           \displaystyle x = 34.439^\circ
  4. Round:                                                                                                               \displaystyle x \approx 34^\circ
4 0
3 years ago
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