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1 year ago

95 points Simplify (4^9/4^3)^5 Show your work for full credit

Mathematics

2 answers:

umka21 [38]1 year ago

7 0

Answer:

The answer is 4³⁰

Step-by-step explanation:

(4⁹/4³)⁵

Here, we will use the property

aᵐ/aⁿ = (aᵐ⁻ⁿ)

(4⁹⁻³)⁵ = (4⁶)⁵ = 4⁶*⁵ = 4³⁰

Thus, The answer is 4³⁰

<u>-TheUnknownScientist</u><u> 72</u>

dexar [7]1 year ago

3 0

Answer:

$4^{30}$

Step-by-step explanation:

$(4^9/4^3)^5=$
$(4^{9-3})^5=$
$(4^6)^5=$
$4^{6*5}=$
$4^{30}$

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Helpppppp!!!!!!!! pleaseee!!!!!!!!!!

vovangra [49]

Adding all of the areas together:

5 x 6 = 30

4 x 6 = 24

3 x 6 = 18

4^2 + 3^2 = 16 + 9 = 25(square root) = 5

" " = 5

30 + 24 + 18 + 5 + 5 = 82 ft^2

7 0

2 years ago

Sarah will buy bracelets and necklaces in order to sell them in her schools fund raising activity. The bracelets cost $2 and the

Alborosie

Answer:

The answer will be:

b ≥ 10

Step-by-step explanation:

The bracelets cost $2 and the earrings cost $3.

She needs to make at least $60.

She will need to sell more than 10 bracelets.

b = bracelets

e = earrings

2b+3e ≥ 60

6 0

2 years ago

Determine the measure of each segment then indicate whether the statements are true or false

kupik [55]

Answer:

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

A(-4, 4)

B(2, 5)

Finding the length of AB using the formula

$d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}$

$=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}$

$=\sqrt{6^2+1}$

$=\sqrt{36+1}$

$=\sqrt{37}$

$d_{AB}\:=\sqrt{37}$

$d_{AB}=6.08$ units

Given the vertices of the segment JK

J(2, 2)

K(7, 2)

From the graph, it is clear that the length of JK = 5 units

$d_{JK}=5$ units

Given the vertices of the segment GH

G(-5, -2)

H(-2, -2)

Finding the length of GH using the formula

$d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}$

$=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}$

$=\sqrt{3^2+0}$

$=\sqrt{3^2}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$d_{GH}\:=\:3$ units

Thus, from the calculations, it is clear that:

$d_{AB}=6.08$

$d_{JK}=5$

$d_{GH}\:=\:3$

Thus,

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

8 0

2 years ago

What is 20% of $2,500 how much money has it rased

Reptile [31]

2500 * 0.20 = 500 dollars

6 0

2 years ago

The sum of 86,68, and 38 is 192. What do you also know about the sum

Andru [333]

The sum of these numbers is an even number and it is prime.
Therefore it is not an odd number and is not a composite number.

8 0

2 years ago