+Brainliest :) Good luck with the question.
+Brainliest :) Good luck with the question. - 1

Answers

Answer 1
Answer:

Heya mate!!

\frac{ {5}^(2)  *  {5}^( - 4) }{ {5} }

Here

{5}^(2)

and

{5}^( - 4)

will be multiplied

So

{5}^(2)  *  {5}^( - 4)

{5}^(2 - 4)

{5}^( - 2)

It will be divided by the denominator

\frac{ {5}^( - 2) }{5}

{5}^( - 2 - 1)

{5}^( - 3)

Hope it helps u dear✌️✌️


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What are the properties of rational exponents and how are they used tk solve problems

Answers

What makes a NUMBER rational is the ability to have a perfect square root, cube root, or have these components: Perfect square/cube, whole number, repeating (pattern) decimal, termination decimal, and I think one more that I can't remember.

The properties of the rational exponents are given and a rational equation is of the form b = aˣ

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the rational exponent equation be A

Now , the properties of the exponent equations are

mᵃ×mᵇ = mᵃ⁺ᵇ

The powers of the exponents are added together

mᵃ / mᵇ = mᵃ⁻ᵇ

The powers of the exponents are subtracted together

( mᵃ )ᵇ = mᵃᵇ

The powers of the exponents are multiplied together

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

Any number raised to the power of 0 is 1

m⁻ᵃ = ( 1 / mᵃ )

Hence , the exponents are solved

PLEASE GIVE BRAINLIEST

Final answer:

Rational exponents have properties that help to simplify expressions and solve mathematical problems. These properties include the product rule, the quotient rule, and the power rule. Utilizing these rules, especially in scientific notation, helps provide concise computations for very large or small numbers.

Explanation:

Properties of Rational Exponents

The properties of rational exponents play a key role in simplifying expressions and solving mathematical problems. Here are three key properties:

  • Product Rule: When you multiply two numbers with the same base, you should add the exponents. This is expressed as: a^m * a^n = a^(m+n).
  • Quotient Rule: When you divide two numbers with the same base, you should subtract the exponents. This rule is reflected in: a^m / a^n = a^(m-n).
  • Power Rule: When you raise a power to a power, you should multiply the exponents: (a^m)^n=a^(mn).

These properties are crucial for solving problems. For example, scientific notation, which is used to represent very large or small numbers, employs these properties of exponents. In scientific notation, numbers are expressed as a product of a digit term and an exponential term. This method is useful for making computations convenient and precise.

Learn more about Rational Exponents here:

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Choose the number that is 1/4 of 1/2 of 1/5 of 200:A2
B5
C10
D25
E50

Answers

B-5
1/5 of 200 would be 40, 1/2 of 40 is 20, 1/4 of 20 is 5. Hope this helps!

Let r>0 -π<θ<π be real. Calculate all the values ofRe( (ln(z))/(z))

where z=r(cos(\theta)+sin(\theta)).

Answers

For a real z, ln(z)/z is always a real number, so the Re() is quite useless.

Thus we just need to write ln(z)/z=ln(r)+ln(\cos(\theta)+\sin(\theta)), and we can't simplify any more.

How long was a million days ago in hours?

Answers

There are 24 million hours in one million days

The number of hours in a day is :

  • 1 day = 24 hours

Number of hours in a million days would be :

  • 1 million days * 24 hours

1000000 * 24 = 24000000

Hence, there are 24 million hours in one million days

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1 day has 24 hours

than 1 million days have 24 millions hours

What is 3 divided by 14 in fraction form?

Answers

The requried 3 divided by 14 in fraction form is 3/14.

What is the fraction?

A fraction is a mathematical concept that can be used to express a portion of a whole or a number that can be written as the ratio of two integers. In a fraction, the top number is referred to as the numerator, while the bottom number is referred to as the denominator.

Here,
As mentioned in the question, 3 divided by 14 in fraction form is given as,
a = 3, b  = 14
fraction = a/b
fraction = 3/14

Thus, the requried 3 divided by 14 in fraction form is 3/14.

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Answer: That would be demonstrated as 3/14, or 3 over 14

Step-by-step explanation:

The numerator is the number being divided, and the denominator is the divider. So if I were to write 1/2, 1 is being divided by 2, which results with .50.  .50 is half of the whole number 1, make sense? :)

PLEASE HELP Match each function formula with the corresponding transformation of the parent function y = - (x + 2)2. 1. y = - (x + 4)2 Reflected across the x-axis and the y-axis 2. y = - (x + 2)2 - 2 Translated right by 2 units 3. y = (x - 2)2 Translated left by 2 units 4. y = 2 - (x + 2)2 Translated down by 2 units 5. y = -x2 Translated up by 2 units 6. y = (x + 2)2 Reflected across the x-axis

Answers

So we are given the following function: y=-(x + 2)^(2).

Before we can solve this problem, we need to know the following:

  • Given g (x) = f (x) + k;  The graph of g(x) equals f(x) shifted k units vertically. If k > 0, the base graph shifts k units upward, and  if k < 0, the base graph shifts k units downward.

  • Given g(x) = f (x - k); The graph of g(x) equals f(x) shifted k units horizontally.  If k > 0, the base graph shifts k units to the right, and  if k < 0, the base graph shifts k units to the left.

  • The reflection of the point (x,y) across  the x-axis is the point (x,-y).

  • The reflection of the point (x,y) across  the y-axis is the point (-x,y).

Know we can solve the problem!

1. y=-(x + 4)^(2). Translated left by 2 units.

2. y=-(x + 2)^(2) - 2Translated down by 2 units

3. y=(x - 2)^(2)Reflected across the x-axis and the y-axis

4. y= 2-(x + 2)^(2)Translated up by 2 units

5. y=-(x)^(2)Translated right by 2 units

6. y=(x + 2)^(2) y = (x + 2)2 Reflected across the x-axis