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Stella [2.4K]
3 years ago
9

Simplify using the laws of exponents (4^3)^-2 × (2^3)^4 ×(8/15)^-2​

Mathematics
1 answer:
katrin2010 [14]3 years ago
8 0

Answer:

\dfrac{225}{64}

Step-by-step explanation:

(4^3)^{-2} \times (2^3)^4 \times (\dfrac{8}{15})^{-2} =

= (2^2)^{-6} \times 2^{12} \times (\dfrac{15}{8})^{2}

= 2^{-12} \times 2^{12} \times \dfrac{225}{64}

= \dfrac{225}{64}

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The ratio of the number of songs Brody bought to the number of songs Jayliah bought is 2:3. The ratio of the number of songs Jay
weqwewe [10]

Answer:

Brody purchased 16 songs.

Step-by-step explanation:

Ratio of the number of songs purchased by Brody(B) and Jayliah(J) = 2 : 3

\frac{B}{J}=\frac{2}{3} ------(1)

Similarly ratio of the songs purchased by Jayliah(J) and Sadie(S) = 4 : 5

\frac{J}{S}=\frac{4}{5} -------(2)

If Sadie bought the songs (S) = 30

From equation (2),

\frac{J}{30}=\frac{4}{5}

J = \frac{4\times 30}{5}

J = 24

By substituting the value J = 24 in equation (1),

\frac{B}{24}= \frac{2}{3}

B = \frac{2\times 24}{3}

B = 16

Therefore, number of songs purchased by Brody = 16.

3 0
3 years ago
100 POINTS!!! Brainliest if correct, I report if the answer is absurd. Don’t answer if don’t know.
Lena [83]

Answer: D

Step-by-step explanation:

To find the perimeter of the square, you want to first find the length of each side. Since the figure is a square, we know that each side is equal to each other. We can set the expressions equal to each other to find x.

\frac{3}{4}x-1=\frac{1}{2}x+7           [subtract both sides by 1/2x]

\frac{1}{4}x-1=7                    [add both sides by 1]

\frac{1}{4}x=8                           [multiply both sides by 4]

x=32

Now that we know x, we can plug it into each expression to find teh length of each side.

\frac{3}{4}(32)-1                       [multiply]

24-1                           [subtract]

23

Now that we know each side is equal to 23, we can add all the sides together to find the perimeter.

23+23+23+23=92        or          23×4=92

Since we know that the perimeter is 92 units, the answer is D.

3 0
3 years ago
Read 2 more answers
A piece of string 25 1/2 inch long will be cut into 3/4 inches pieces how many pieces will there be
weqwewe [10]
25.5/0.75 = 34 Pieces.

Hope this has helped.
6 0
3 years ago
Read 2 more answers
Find p(-4) if p(x) = 3x^2 - 4x + 7
Igoryamba

Answer:71

Step-by-step explanation:

6 0
3 years ago
Pls answer quick. Imma need it fast.
Tema [17]

Answer:

28

Step-by-step explanation:

8 0
2 years ago
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