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Greeley [361]
3 years ago
6

Please simplify 7^6 √ 7^2

Mathematics
2 answers:
daser333 [38]3 years ago
6 0

Answer:

Step-by-step explanation:

The tough part of this question is figuring out what to do with √(7^2). You could do it by expanding the square. √(7^2) = √49

Now what is the square root of 49? Is it not 7?

√49 = 7

7^6 * 7^1

7 ^(6 + 1)

7 ^ 7

Reptile [31]3 years ago
4 0

Answer:

49

Step-by-step explanation:

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Find the derivative of
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Answer:

\displaystyle y'(1, \frac{3}{2}) = -3

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> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Functions
  • Function Notation
  • Terms/Coefficients
  • Exponential Rule [Rewrite]:                                                                              \displaystyle b^{-m} = \frac{1}{b^m}

<u>Calculus</u>

Derivatives

Derivative Notation

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle y = \frac{3}{2x^2}<u />

\displaystyle \text{Point} \ (1, \frac{3}{2})

<u>Step 2: Differentiate</u>

  1. [Function] Rewrite [Exponential Rule - Rewrite]:                                            \displaystyle y = \frac{3}{2}x^{-2}
  2. Basic Power Rule:                                                                                             \displaystyle y' = -2 \cdot \frac{3}{2}x^{-2 - 1}
  3. Simplify:                                                                                                             \displaystyle y' = -3x^{-3}
  4. Rewrite [Exponential Rule - Rewrite]:                                                              \displaystyle y' = \frac{-3}{x^3}

<u>Step 3: Solve</u>

  1. Substitute in coordinate [Derivative]:                                                              \displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1^3}
  2. Evaluate exponents:                                                                                         \displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1}
  3. Divide:                                                                                                               \displaystyle y'(1, \frac{3}{2}) = -3

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

6 0
3 years ago
Miss Wilson has spent $6 on breakfast using her debit card 5 mornings per week for the past 8 weeks. What is the change in Miss
Lera25 [3.4K]

Answer:

(6x5) • 8

Step-by-step explanation:

We’ll I find it’s 6 dollars a day and their are 5 days that would be 30 but this went in for 8 weeks so it would be 30 x 8 which equal 240

8 0
3 years ago
Read 2 more answers
Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.
den301095 [7]

Answer:  

Here, the coordinates of the given rectangle are (1,2), (3,2), (1,-1) and (3,-1)

In the dilation by the scale factor k with centered at origin,

(x,y)\rightarrow (kx,ky)

Thus, If the dilation occurs by the scale factor of 2 with centered at origin,

New coordinates of the Rectangle are,

(1,2)\rightarrow (2\times 1, 2\times 2)

(3,2)\rightarrow (2\times 3, 2\times 2)

(1,-1)\rightarrow (2\times 1, 2\times -1)

(3,-1)\rightarrow (2\times 3, 2\times -1)

Thus, the coordinates of new rectangle are,

(2,4), (6,4), (2,-2) and (6,-2)




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3 years ago
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How many terms dose the polynomial have 2x^9 + 3x^6 - x - 20?
riadik2000 [5.3K]

Answer:

3

Step-by-step explanation:

2x^9 = 1

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6 0
3 years ago
Let the sample space be S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Suppose the outcomes are equally likely. Compute the probability of
nadezda [96]

Answer:

Step-by-step explanation:

With replacement

(1/10)^4

1/10000

0.0001

Without replacement

(1/10)(1/9)(1/8)(1/7)

1/5040

0.00019841269

8 0
3 years ago
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