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yuradex [85]
3 years ago
6

1.)(-4)^-6(-4)^7 2.)(t^8)^23.)(5t^3)^-4Simplify the expressions?​

Mathematics
1 answer:
statuscvo [17]3 years ago
6 0

Answer:

1.  - 4

2.   t¹⁶

3.   <u>    1      </u>

      625t¹²

Step-by-step explanation:

1.   -4⁻⁶(-4)⁷

-16384/4096 = -4

2.   (t⁸)²

     t¹⁶

3.   (5t³)⁻⁴

<u>    1      </u>

625t¹²

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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
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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})
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  4. Round:                                                                                                               \displaystyle x \approx 34^\circ
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