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2 years ago

What is the quotient of 2^4/2^-4

Mathematics

1 answer:

Tamiku [17]2 years ago

6 0

Answer:

2⁸

When dividing a number by another with the same base, you can simply subtract the denominator's exponent from the numerator's. That gives you

2⁴ ⁻ ⁽⁻⁴⁾ = 2⁽⁴ ⁺ ⁴⁾ = 2⁸

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2 years ago

Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1

nikdorinn [45]

Answer:

Area of polygon D = 10 square units

Step-by-step explanation:

Given:

Polygon C has an area of 40 square units.

It is scaled with a scale factor of $\frac{1}2$ to form a new polygon D.

To find:

The area of polygon D = ?

Solution:

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

First of all, let us consider a right angled triangle with sides 6, 8 and 10 units.

Area of a right angled triangle is given by:

$A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units$

If scaled with a factor $\frac{1}{2}$ , the sides will be 3, 4 and 5.

New area, A':

$A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A$

i.e. Area becomes one fourth.

Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = $Length \times Width$ = 8 $\times$ 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 $\times$ 5 =20 sq units

So, $\bold{A' = \frac{1}4 \times A}$

Now, we can apply the same in the given question.

$\therefore$ Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ Area of polygon C

Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ 40 = 10 sq units

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2 years ago

Express sin Q as a fraction in simplest terms.

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Answer:

Solution given

Sin Q=opposite/hypotenuse=28/29

28/29 is. a required answer.

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2 years ago

What is the coefficient of the xy term in the expression below? 2x + 3y - 4xy - 10

alukav5142 [94]

For this case we have the following expression:

$2x + 3y-4xy-10$

By definition, a coefficient is the term that accompanies one or more variables.

For example:

$3x + 5$

The coefficient of the linear term is 3.

So, in the given expression we have to:

-4 is the term that accompanies the variables xy.

Answer:

-4

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3 years ago

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What is the quotient of 2^4/2^-4￼

What is the quotient of 2^4/2^-4