All categories

3 years ago

Simplify (4^7/5^2)^3

Mathematics

2 answers:

Vlad [161]3 years ago

6 0

Answer:

281474976.7

Step-by-step explanation:

4⁷=16384

5²=25

16384/25=655.36

(655.36)³=281474976.7

Nuetrik [128]3 years ago

5 0

Answer:

4²¹/5⁶ or 4398046511104/15625

Step-by-step explanation:

Remember, when raising a term with an exponent to some power, you must multiply the powers.

$(\frac{4^{7} }{5^{2} })^{3} \\\\ = (\frac{(4^{7})^{3} }{(5^{2})^{3} }) \\\\= \frac{4^{7 * 3} }{5^{2* 3} } \\\\= \frac{4^{21} }{5^{6} } \\\\=\frac{4398046511104}{15625}$

You might be interested in

Using the Factor Theorem, which of the polynomial functions has the zeros 4, <img src="https://tex.z-dn.net/?f=%5Csqrt7" id="Tex

Serjik [45]

Answer:

Step-by-step explanation:

According to the Factor Theorem, if (<em>x</em> - <em>a</em>) is a factor (where <em>a</em> is a zero) of the polynomial P(x), then P(a) must equal zero.

Our zeros are 4, √7, and - √7. Hence, when evaluating P(4), P(√7), and P(-√7), all must evaluate to zero.

Testing each choice, we can see that only choice B is true. That is:

$\displaystyle \displaystyle \begin{aligned} f(4)&= (4)^3 - 4(4)^2 - 7(4) + 28 \\ &= (64) - (64) - (28) + 28 \\ &= 0 \stackrel{\checkmark}{=}0 \\f(\sqrt{7}) &= (\sqrt{7})^3 - 4(\sqrt{7})^2 - 7(\sqrt{7}) + 28 \\ &= (7\sqrt{7}) - (28) - (7\sqrt{7}) + 28 \\ &= 0 \stackrel{\checkmark}{=} 0\\ f(-\sqrt{7}) &= (-\sqrt{7})^3 - 4(-\sqrt{7})^2 - 7(-\sqrt{7}) + 28 \\ &= (-7\sqrt{7}) - (28) + (7\sqrt{7}) + 28 \\ &= 0 \stackrel{\checkmark}{=} 0 \end{aligned}$

In conclusion, our answer is B.

8 0

3 years ago

IM SERIOUSLY PERISHING AND IM LITERALLY PULLING AN ALL-NIGHTER UNTIL I GET THIS ANSWER

Kazeer [188]

I can help you with some of these questions
1. The Great Wall of China is 13,170.696
2.how many feet are in a mile= 5,280= 1 mile
3. 19,536,000=3700 miles

3 0

3 years ago

5) A farmer raises turkeys and pigs. There are 15 animals all together. The farmer

nika2105 [10]

Answer:

2 pigs, 13 turkeys

Step-by-step explanation:

34=2t+4p (equation for legs)

t+p=15 (equation for total # of animals) --> t=15-p

substitution:

34=2(15-p)+4p

p=2

plug back in to other equation

t=15-(2)

t= 13

6 0

2 years ago

What is the solution to the equation startfraction y over y minus 4 endfraction minus startfraction 4 over y 4 endfraction = sta

zmey [24]

The solution to the given equation is 4 and -4.

<h3>What is a fraction?</h3>

Fractions are the numerical values that are a part of the whole.

A whole can be an object or a group of objects.

The given equation is;

$\rm \dfrac{y}{y - 4}- \dfrac{4}{y + 4}= \dfrac{32}{y^2- 16}$

A fraction is used to represent the portion/part of the whole thing.

The solution of the fraction is determined in the following steps given below.

$\rm \dfrac{y}{y - 4}- \dfrac{4}{y + 4}= \dfrac{32}{y^2- 16}\\\\\rm \dfrac{y(y+4)-4(y-4)}{(y - 4)(y+4)}= \dfrac{32}{(y-4)(y+4)}\\\\y^2+4y-4y+16=32\\\\y^2=32-16\\\\y^2=16\\\\y=\pm 4$

Hence the solution to the given equation is 4 and -4.

Learn more about fractions here;

brainly.com/question/17431959

6 0

2 years ago

Please help on number 3

kobusy [5.1K]

Answer:

Its the first option.

Step-by-step explanation:

3x + y = 5

5x - 4y = -3

From equation 1:

y = - 3x + 5

Substituting for y:

5x - 4(-3x + 5) = -3

5 0

3 years ago