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lina2011 [118]
1 year ago
6

Apply Laws of Exponents to write an equivalent expression. (3y)-4. (2z)-4

Mathematics
1 answer:
Stels [109]1 year ago
4 0

After Applying Laws of Exponents we can write as (6yz)^{-4}

<h3>What is law of exponents ?</h3>

The exponent of a number indicates how many times a number has been multiplied by itself. For instance, 34 indicates that we have multiplied 3 four times. Its full form is 3 3 3 3. Exponent is another name for a number's power. A whole number, fraction, negative number, or decimal are all acceptable.

<h3>How are powers of powers multiplied?</h3>

Exponents with distinct bases and the same powers can be multiplied by multiplying the bases and writing the power outside of the brackets.

a^{n} .b^{n} =(a.b)^{n}

=3y^{-4} . 2z^{-4}

=3y^{-4} . 2z^{-4}

= (6yz)^{-4}

To know more about law of exponents visit :

brainly.com/question/15993626

#SPJ9

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Please help! 11 pts.
Veronika [31]

The Pythagorean theorem formula for a triangle is A^2 + B^2 = C^2 where A and B are the sides and C is the hypotenuse.

The sides of the triangle shown are AB and BC and the hypotenuse is AC,

so the correct answer would be:

(AB)2 + (BC)2 = (AC)2, because 25 + 144 = 169

3 0
3 years ago
Read 2 more answers
You have a pan with a radius of 16 centimeters. if the cooking instructions say to cover the entire bottom of the pan with butte
Leno4ka [110]
Radius of the pan = 16cm

Formula for area of circle:
           
                   \boxed { \boxed { \text {Area of a circle =}  \pi r^2}}

Find the area of the pan:

                   \text {Area of the pan =} \pi (16)^2 = 804.25 \ cm^2

\boxed { \boxed {\text {Answer : The butter must cover 804.25 cm}^2}}


4 0
3 years ago
The town library is raising money by selling old books for $2 each.Which equation can be used to find the amount of money raised
alexgriva [62]
Y=2x
y is the amount of money made from the sold books
x is the number of books that are sold (it is x because you don't know how many will be sold, so you have to account for all possibilities)
2x is because every book is sold for 2 dollars, so that mean x is multiplied by 2 to get y
5 0
3 years ago
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Evaluate the following expression (-3)^2
Cloud [144]

Answer:

9

Step-by-step explanation:

negative times a negative is a positive. Negative three squared is 9.

8 0
3 years ago
What is the probability of the complement of rolling a number less than 5 by using a six-sided die?
Inessa05 [86]
<h3><u>Answer:</u></h3>

Hence, the probability of the complement of rolling a number less than 5 by using a six-sided die is:

1/3

<h3><u>Step-by-step explanation:</u></h3>

Let A denote the event of rolling a number less than 5 in a six-sided die.

Now, we know that the Total outcomes are: 6

since, the sample space is given as: {1,2,3,4,5,6}

Also Number of favorable outcomes are: 4

since the numbers which are less than 5 are {1,2,3,4}

Now we have to find:

P(A^c)

where P denotes the probability of an event and A^c denote the complement of event A.

We know that:

P(A^c)=1-P(A)

Now,

P(A)=\dfrac{4}{6}\\\\P(A)=\dfrac{2}{3}

Hence,

P(A^c)=1-\dfrac{2}{3}\\\\P(A^c)=\dfrac{3-2}{3}\\\\P(A^c)=\dfrac{1}{3}

Hence, the probability of the complement of rolling a number less than 5 by using a six-sided die is:

1/3

8 0
3 years ago
Read 2 more answers
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