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3 years ago

(27p6)5/3 in simplify form. 6 and 5/3 are exponents.

2 answers:

8 0

$(27p^6)^{ \frac{5}{3} }=(3^3p^6)^{ \frac{5}{3} }=3^{3 \cdot \frac{5}{3} }\cdot p^{6\cdot \frac{5}{3} }=3^5p^{10}=243p^{10}$

Cerrena [4.2K]3 years ago

5 0

Answer = 2.06^14 or 24,782.27

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I NEED HELP PLEASE. LOOK AT PICTURE

Bond [772]

Answer:

Part 1) $\frac{a^4}{4b^2}$

Part 2) $-\frac{v^9}{w^6}$

Step-by-step explanation:

we know that

When divide exponents (or powers) with the same base, subtract the exponents

Part 1) we have

$\frac{3a^{2}b^{-4}}{12a^{-2}b^{-2}}=(\frac{3}{12})(a^{2+2})(b^{-4+2} )=\frac{1}{4}a^{4}b^{-2}=\frac{a^4}{4b^2}$

Part 2) we have

$\frac{v^3w^{-3}}{-v^{-6} w^3} =-v^{3+6}w^{-3-3}=-v^9w^{-6}=-\frac{v^9}{w^6}$

6 0

2 years ago

LCM of 4, 6, 10, and 12

Amiraneli [1.4K]

Answer:

360 is the LCM of 4,6,10 and 12

8 0

2 years ago

Does the table show a direct proportional relationship? If so, what is the constant of proportionality?

lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality ( $k$ ) is described by the following expression:

$k = \frac{y}{x}$ (1)

Where:

$x$ - Input.

$y$ - Output.

If we know that $(x_{1}, y_{1}) = (13, 45.5)$ , $(x_{2}, y_{2}) = (14, 49)$ and $(x_{3}, y_{3}) = (15, 52.5)$ , then the constants of proportionalities of each ordered pair are, respectively:

$k_{1} = \frac{y_{1}}{x_{1}}$

$k_{1} = \frac{45.5}{13}$

$k_{1} = \frac{7}{2}$

$k_{2} = \frac{y_2}{x_2}$

$k_{2} = \frac{49}{14}$

$k_{2} = \frac{7}{2}$

$k_{3} = \frac{y_{3}}{x_{3}}$

$k_{3} = \frac{52.5}{15}$

$k_{3} = \frac{7}{2}$

Since $k_{1} = k_{2} = k_{3}$ , the constant of proportionality is 3.5.

8 0

2 years ago

First, drag a value to represent the missing angle in the triangle. Then, complete the trigonometry equality statements.

noname [10]

The missing trigonometric values are listed below:

Angle A = 90 - θ
sin 28° = cos (62°)
Cos 33° = sin 57°
Cos 31° = sin 59°
Cos (90 - θ) = sin(θ)

<h3>Meaning of Trigonometry</h3>

Trigonometry is a branch of mathematics that studies angles of triangles and its side length.

Trigonometry is so important that every student must come across this branch of mathematics.

In conclusion, the missing trigonometric values are listed above

Learn more about trigonometry: brainly.com/question/24349828

#SPJ1

6 0

1 year ago

Mrs. Williams is deciding between two field trips for her class. The Science Center charges $135 plus $3 per student. The Dino D

Marianna [84]

Set it up like a regular equation. I used:
$3x+135 \ \textless \ 6x$

As you can see, however, I inserted the "less than" symbol rather than the equal sign because values greater than a certain value can also equal "x". Solve it like a normal equation and you will arrive at:
<u>
</u> $x \ \textgreater \ 45$

This means that, as long as x is greater than 45, "6x" will be greater than "3x+135". Thus, if you bring 46 students, the Science Center will cost less.

5 0

2 years ago