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Nina [5.8K]
3 years ago
5

Which expression is equivalent to (2^3)^-5

Mathematics
1 answer:
kvasek [131]3 years ago
3 0

Answer:

(2×2×2)×(2×2×2)×(2×2×2)×(2×2×2)×-(2×2×2)×(2×2×2)

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Solve for y 16y^2-25=0
Pepsi [2]

Answer:

\large\boxed{x=-\dfrac{5}{4}\ \vee\ x=\dfrac{5}{4}}

Step-by-step explanation:

16y^2-25=0\\\\METHOD\ 1:\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\16=4^2\ \text{and}\ 25=5^2\ \text{therefore we have}\\\\4^2y^2-5^2=0\\\\(4y)^2-5^2=0\\\\(4y-5)(4y+5)+0\iff4y-5=0\ \vee\ 4y+5=0\\\\4y-5=0\qquad\text{add 5 to both sides}\\4y=5\qquad\text{divide both sides by 4}\\\boxed{y=\dfrac{5}{4}}\\\\4y+5=0\qquad\text{subtract 5 from both sides}\\4y=-5\qquad\text{divide both sides by 4}\\\boxed{x=-\dfrac{5}{4}}

METHOD\ 2:\\\\16y^2-25=0\qquad\text{add 25 to both sides}\\\\16y^2=25\qquad\text{divide both sides by 16}\\\\y^2=\dfrac{25}{16}\to y=\pm\sqrt{\dfrac{25}{26}}\\\\y=-\dfrac{\sqrt{25}}{\sqrt{16}}\ \vee\ x=\dfrac{\sqrt{25}}{\sqrt{16}}\\\\\boxed{y=-\dfrac{5}{4}\ \vee\ x=\dfrac{5}{4}}

7 0
3 years ago
Read 2 more answers
Sanchez applied 6 fluid Ounces of an herbicide per acre on 300 acres of com. How many gallons
kumpel [21]

Answer:

Sanchez applied 1,800 fluid ounces of herbicide to his 300 acres of corn.

Step-by-step explanation:

Let's identify what we already know:

1) Sanchez has 300 acres of corn

2) For every 1 acre, Sanchez applies 6 fluid ounces of an herbicide.

So, we need to figure out how many fluid ounces Sanchez used for the entire six acres. We can create a formula for this:

300 acres x 6 fluid ounces = x

x equals total number of fluid ounces. We multiple the number of acres by the fluid ounces, to get 1,800 fluid ounces for the entire 300 acres of corn.

3 0
3 years ago
In 2 hours the temperature dropped 6 degrees the final temperature was -4 degrees Fahrenheit what was the original temperature
atroni [7]

Answer:

2

Step-by-step explanation:

The temperature was originally 2 degrees because if you draw a number line and put a 0 in the middle of the positive numbers and the negative numbers ( - 8 - 7 - 6 -5 - 4 0 1 2 3 4 5 6 7 8) - example. Put the positive and negative numbers on different sides of the 0 and go left from the positive numbers from 2 and count 6 skips down to - 4. So 2 would be your answer.

4 0
3 years ago
Find the difference of 5k?-7k +6 and<br> 3k - 4k+1.<br> 2
PIT_PIT [208]

Answer:

2k-3k+5

Step-by-step explanation:

4 0
3 years ago
Simplify the algebraic expression by combining like (or similar) terms.<br> -7x - 8y- 5x - 6y
stira [4]

Answer:

-12x - 14y

Step-by-step explanation:

First I would move them side by side so I can see it better so:

-7x - 5x - 8y - 6y

now combine the x values together and the y values together:

-12x - 14y

7 0
3 years ago
Read 2 more answers
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