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Mkey [24]
3 years ago
11

Please answer i need help​

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
8 0

Answer:

\huge\boxed{\text{B) 1}}

Step-by-step explanation:

In order to find which expression is equivalent to (8^5 \times 3^{-7})^0, we need to note the order of operations.

PEMDAS tells us that when solving an equation, we'd go in this order.

<em>P</em><em>arentheses</em>

<em>E</em><em>xponents</em>

<em>M</em><em>ultiplication/</em><em>D</em><em>ivision</em>

<em>A</em><em>ddition/</em><em>S</em><em>ubtraction</em>

Using this, we'd start by evaluating what's inside the parentheses, 8^5 \times 3^{-7}. We'd then bring that value to the 0th power.

<em>Wait...</em> there's something special about bringing anything to the 0th power. Bringing anything to the 0th power makes the value 1.

It can be -5... it can be 1,000,000, any number possible, taken to the 0th power, will always be 1.

So no matter what the value inside the parentheses is, taking it to the 0th power will <u>always make it 1</u>.

Therefore, this expression is equivalent to 1.

Hope this helped!

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Answer:

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General Formulas and Concepts:

<u>Calculus</u>

The derivative of a constant is equal to 0

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Product Rule: \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)

Chain Rule: \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Step-by-step explanation:

<u>Step 1: Define</u>

y=\sqrt{x} (x+2)

<u>Step 2: Rewrite</u>

y=x^{\frac{1}{2} } (x+2)

<u>Step 3: Differentiate</u>

  1. Product Rule [Basic Power/Chain Rule]:                 y'= \frac{1}{2} x^{\frac{1}{2} -1}(x+2)+x^{\frac{1}{2} }(1)
  2. Simplify:                                                                            y'= \frac{1}{2} x^{\frac{-1}{2}}(x+2)+x^{\frac{1}{2}}
  3. Rewrite:                                                                                        y'= \frac{x+2}{2\sqrt{x} } + \sqrt{x}
  4. Add:                                                                                                       y'= \frac{3x+2}{2\sqrt{x} }
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Surface area of a cube = 486 square inches

Solution:

Given each side of a cube = 9 inches

Net of a cube has 6 squares.

Area of square = side × side

Area of 1 square = 9 × 9 = 81 square inches

Surface area of a cube = Area of 6 squares

                                      = 6 × (side × side)

                                      = 6 × 81

                                      = 486 square inches

Hence, surface area of a cube is 486 square inches.

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