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4 years ago

What is the answer to this question

Mathematics

1 answer:

Andreas93 [3]4 years ago

4 0

When simplifying you add exponents that appear in the numerator and subtract those that appear in the denominator.
$\dfrac{z^{2}y^{3}}{y^{-3}z^{6}}=y^{3-(-3)}z^{2-6}=y^{6}z^{-4}$

Now negative exponents can be put in the denominator as positive exponents.
$=\dfrac{y^{6}}{z^{4}}$

This corresponds to selection
a. y⁶/z⁴.

You might be interested in

6,666,666×666,666 /1+2+3+4+5+6+5+4+3+2+1 − 777,777×777,777/1+2+3+4+5+6+7+6+5+4+3+2+1

jeka57 [31]

Answer:

111111 $\times$ 1111110 is the simple expression.

Step-by-step explanation:

The expression to be solved:

$\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1} - \dfrac{777,777\times777,777}{1+2+3+4+5+6+7+6+5+4+3+2+1}$

First of all, let us solve the first term:

$\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1}\\\Rightarrow \dfrac{6666666\times666666 }{36}\\\Rightarrow \dfrac{6666666\times666666 }{6\times 6}\\\Rightarrow 1111111\times 111111$

Now, the right term:

$\dfrac{777777\times777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}\\\Rightarrow \dfrac{777777\times777777}{49}\\\Rightarrow \dfrac{777777\times777777}{7 \times 7}\\\Rightarrow 111111 \times 111111$

So, the expression to be solved becomes:

$1111111\times 111111-111111\times 111111\\\Rightarrow 111111(1111111-1)\\\Rightarrow 111111\times 1111110$

3 0

3 years ago

De las siguientes relaciones entre dos variables, razona cuáles son funcionales y cuáles no: a. Edad – altura de la persona a lo

Arte-miy333 [17]

Answer:

In this problem, we need to describe the relation between variables, if that relation is functional or not. It's important to say that we assumed that the first variable is independent, and the second is dependent.

Age - Height of the person along his life: These variable are functinal and make total sense, because through time the person grows, which means the height changes as the age increases. These variables have a proportional relationship.

Height - Age of the person: These relation is not functional, becasuse age can't be a dependent variable, beacuse the age of a person doesn't depends on his height.

Gasoline price - Day of the Month: These relation is not functional, becasue time must be the independent variable.

Day of the Month - Gasoline price: These realation make sense, beacuse the price of the gasoline can be depedent of the day of the month.

A number and its fifth part: Notice that the fifth part depends on the number, it's defined by it, so this can be a function.

A number and its square root: These two variables represent a function, where "a number" represents the domain value and "its square root" represents a range vale.

4 0

3 years ago

How can we tell if a number is divisible by 4

Elza [17]

Answer: You take the last two digits of the original number and see if they are divisible by 4.

Step-by-step explanation: Take your original number and find the last two digits. If they are divisible by 4, then the original number is divisible by 4.

7 0

3 years ago

Read 2 more answers

Evaluate. 5(-6) = _____

Brums [2.3K]

ANSWER

Your answer is -30

3 0

4 years ago

Is the following number irrational or rational? Explain

sashaice [31]

Answer:

Rational

Step-by-step explanation:

It can be expressed as the ratio of two integers.

i.e. 0.01011011101111 = 1 011 011 101 111 / 100 000 000 000 000

6 0

3 years ago