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(1/4)^-2  =  (4^-1)^-2  =  4²  =  16

(6x/7)^-2  =  6^-2 · x^-2 / 7^-2  =  7² / ( 6² · x²  =  49 / (36x²)

16 · 49 / (36x²)  =  784 / (36x²)  =  196 / (9x²)

$$10(\frac{1}{2})^{0/29}$$

0/x is 0 for all x ≠ 0, so the exponent will simply be 0. 

x⁰ is 1 for all x ≠ 0, so the second factor will simply be 1:

$$10(\frac{1}{2})^{0/29} = 10(\frac{1}{2})^{0} = 10*1 =10$$

Reduce  8/12  =  2/3

Reduce  14/21  =  2/3

Since they reduce to the same value, they are proportional.

a  =  (7 - 2b)³   --->   a'  =  3(7 - 2b)² · -2   --->    a'  =  -6(7 - 2b)²

1. Do the division

2. Multiply the answer by 100...

...and you have your percentage.

This is because percent means "per hundred" i. e. x% is x hundredth of something.

So we get:

7/13 ≈ 0.54

7/13 ≈ 54%

19/35 because you can do (3/5)*(19/21)

-2 is your awnser. It is the same as subtracting 3.

Post the problem and we'll try to help :)

1. Simply multiply the numerators and the denominators of both fractions by doing 2.5 times 12 over 300 times x.

This gives you 30/300x.

2. Now simplify the fraction and you'll get 1/10x :)

Hope this helped!

My name is JeffJeff

If it has ||, it is an absolute value. In this case it is asking you how much space the number is from the zero. So, the answer to the question is 10 because  it is 10space away from the zero. Get it?😉😉

Yes Tenacious, I think it is time to move on.  LOL

I'm voting for "Pygmy"..........

3 1/2 * 5/6      

Transfom the mixed numbers into improper fraction, using this formula (can you see why it's correct?)

$$a\frac{b}{c}=\frac{ac + b}{c}$$       We get:

$$3\frac{1}{2}=\frac{3*2+1}{2}= \frac{7}{2}$$    Thus the whole expression is:

$$\frac{7}{2}*\frac{5}{6}$$      Multiply numerator (top) by numerator, and denominator (bottom) by denominator:

$$\frac{7}{2}*\frac{5}{6}= \frac{7*5}{2*6}=\frac{35}{12}$$  

You need to be more specific.

Are they African, Indian or Pygmy elephants?

3 1/2 x 5/6=

Converting the mixed number to an "improper" fraction, we have 3 + 1/2  = 7/2

Now, just multiply 7/2 x 5/6 = 35/12 .....in mixed number terms, we have 2 + 11/12

4y - 7  =  2y + 11

Subtract 2y from both sides:

2y - 7  =  11

Add 7 to both sides:

2y  =  18

Divide by 2:

y  =  9

And, from your comments, I guess that you want to show the world that, as an "American" (or is it ust a citizen of the United States -- there's a lot of America that isn't part of the United States), you have the freedom to be ignorant, insulting, and (probably) racist.

it is -10 

At $6.50 an hour, Fred will earn $6.50 x 26 = $169.00 in hourly pay.

To earn at least $229.00, subtract:  $229.00 - $169.00  =  $60.00.

So, Fred must earn at least $60.00 in tips.

To get an approximate answer, use logs:

x = 8²⁰¹⁵

--->   log(x)  =  log(8²⁰¹⁵)

Since exponents in logs come out as multipliers:

--->   log(x)  =  2015·log(8)  ≈  1819.726

Find the antilog:

--->   x  =  10^1819.726324

--->   x  =  10^{1819 + 0.726324}

--->   x  =  10¹⁸¹⁹ · 10^0.726324

My calculator give me the value of 5.325 for 10^0.726324

So, the answer is approximately 5.325 x 10¹⁸¹⁹

Remember that:

a + (-b) = a - b

So, we get:

1 + (-3) = 1 - 3 = -2

 8 is not that far from 10. So it isn't unlikely that 8²⁰¹⁵ has at least more than 1000 digits. Thus I use Wolfram Alpha to calculate this:

8²⁰¹⁵ ≈ 5.33 * 10¹⁸¹⁹.

Guess I was right ;)

Do you mean, solve: 3h² + 8h + 5 = 0 ?

Use the quadratic formula:

$$h = \frac{-b +/- sqrt(b^{2}-4ac)}{2a}$$

We get:

$$h = \frac{-8 +/- sqrt(8*8 - 4*3*5)}{2*3}$$

$$h= \frac{-8 +/- sqrt(64-60)}{6}$$

$$h = \frac{-8 +/- 2}{6} => h= \frac{-10}{6} ...v... h=\frac{-6}{6}$$

h = - 5/3  v  h = -1 

Where v is latin for "vel", indicating inclusive disjunction:

A v B means "A or B", or more precise: "either A, or B, or both"

In (9r⁶)^3/2, split as (9)^3/2 · (r⁶) ^3/2

For (9)^3/2:  =  (√9)³  =  3³  =  27

In  (r⁶) ^3/2  multiply the exponents:  6 x 3/2  =  9   --->   r⁹

So the answer is  27r⁹.

For:  √(4x)  =  x   

Square both sides:   4x  =  x²

--->   0  =  x² - 4x   --->   0  =  x(x - 4)   --->   x = 0   or   x = 4

OK....post your problems, and we'll see what we can do for you........