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Artyom0805 [142]
2 years ago
7

Evaluate (−3) ^−3

Mathematics
1 answer:
Fynjy0 [20]2 years ago
4 0
<h3>Answer:</h3>

-1/27

<h3>Solution:</h3>
  • If we have a number to a negative power, we flip the number over, like so:
  • -3- > \displaystyle\frac{1}{(-3)^3}
  • Simplify:
  • \displaystyle\frac{1}{-27} =-\frac{1}{27}

Hope it helps.

Do comment if you have any query.

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Use the properties of exponents to simplify the expression
ExtremeBDS [4]

Option B is correct after applying the property of integer exponent and simplification.

<h3>What is an integer exponent?</h3>

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have:

=\rm (x.x^{-3}.y^{\dfrac{1}{3}})^2

=\rm (x^{-2}.y^{\dfrac{1}{3}})^2\\\\=\rm (x^{-4}.y^{\dfrac{2}{3}})\\\\=\rm \dfrac{y^{\dfrac{2}{3}}}{x^{4}}\\\\

Thus, option B is correct after applying the property of integer exponent and simplification.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ1

8 0
2 years ago
Consider the following 8 numbers, where one labelled x is unknown. 4, 32, 6, x , 10, 3, 35, 37 Given that the range of the numbe
Natali [406]

Answer:

\boxed{x=-27, \: x=67}

Step-by-step explanation:

There can be two values of x.

The range is largest no. - smallest no.

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Let x be the smallest no.

largest no. from the list is 37

37 - x = 64

-x = 64 - 37

x = -27

Let x be the largest no.

smallest no. from the list is 3

x - 3 = 64

x = 64 + 3

x = 67

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= (3x + 2)(x + 1) \\  = 3x(x + 1) + 2(x + 1) \\  =  {3x}^{2}  + 3x + 2x + 2 \\  =  {3x}^{2}  + 5x + 2

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Answer:

Step-by-step explanation:

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