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2 years ago

Simplify 4^2 x 4^8 ..................

Mathematics

2 answers:

musickatia [10]2 years ago

6 0

Answer:

4^10

Step-by-step explanation:

4^2 x 4^8

When we multiply exponents with the same base, we can add the exponents

4^(2+ 8)

4^10

KIM [24]2 years ago

3 0

Answer:

16 and 65536

Step-by-step explanation:

4^2 =16 and 4^8 =65536

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If f(n)= n²-n, then f(-4) is<br> O-20<br> 12<br> -12<br> 20

Harman [31]

Answer:

Step-by-step explanation:

Plug in -4 for n:

(-4)^2 - (-4) = 16 + 4 = 20

3 0

1 year ago

PLEASES HELP ME OUT ON THIS

ki77a [65]

The answer is d:11.

3 0

2 years ago

Read 2 more answers

Which number is irrational? A. 3/8 B. 56/8 to the fourth C. 36 to the fourth over 4 to the fourth D. 0.19 repeating

mixer [17]

I believe that none would be irrational; an irrational number can't have terminating or repeating decimals. 3/8= .375, (56/8)^4=7^4=2,401, 36^4/4^4=6561, and .19 repeating is a repeating decimal.

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20log_%7B2%7D%283x%20%2B%204%29%20%20-%207%20log_%7B4%7D%7Bx%7D%5E%7B2%7D%20%20%2B%20%20log_%

olga2289 [7]

First of all, we need all logarithms to have the same base. So, we use the formula

$\log_a(b)=\dfrac{\log_c(b)}{\log_c(a)}$

To change the second term as follows:

$\log_4(x^2)=\dfrac{\log_2(x^2)}{\log_2(4)}=\dfrac{\log_2(x^2)}{2}$

Finally, using the property

$\log(a^b)=b\log(a)$

we have

$\dfrac{\log_2(x^2)}{2}=\log_2(x)$

So, the equation becomes

$\log_2(3x+4)-7\log_2(x)+\log_2(x)=2 \iff \log_2(3x+4)-6\log_2(x)=2$

We can now use the formula

$\log(a)-\log(b)=\log\left(\dfrac{a}{b}\right)$

to write the equation as

$\log_2(3x+4)-6\log_2(x)=2 \iff \log_2(3x+4)-\log_2(x^6)=2 \iff \log_2\left(\dfrac{3x+4}{x^6}\right)=2$

Now consider both sides as exponents of 2:

$\dfrac{3x+4}{x^6}=4 \iff 4x^6-3x-4=0$

This equation has no "nice" solution, so I guess the problem is as simplifies as it can be

5 0

3 years ago

What term can you add to 5/6x -4 to make an equivalent to 1/2x-4

solmaris [256]

Answer:

Denote adding term = a

a = (5/6x) - 4 - (1/2x) - 4

a = (5/6x) - (1/2x)

a = (5/6x) - (3/6x)

a = (2/6x)

a = (1/3x)

*******************************

a = (5/6)x - 4 - (1/2)x - 4

a = (5/6)x - (1/2)x

a = (5/6 - 1/2)x

a = (1/3)x

Hope this helps!

7 0

2 years ago