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Well, I would disagree, as they are 70 units apart on a number line, which is quite a difference!

I think you can do this by yourself...

So, your question rephrased is: \(3 * 5 - 9\).

Using the order of operations, we do the multiplication first.

\(3*5\) is 3 sets of 5, meaning that you add 5 to itself 3 times. This is \(5+5+5=15\).

So, our equation now is \(15-9\).

Using the method of subtraction, we get \(15-9=6\),

So, the answer to the equation \(3*5-9\) is \(6\) :D

o _ O I have realized I've been doing that without realizing it! :D

Of course!

Thanks!

Your the best LuckyDucky!!! 

\(\begin{align*} (-2)^4 &= (-2)(-2)(-2)(-2) = 16,\\ 2^4 &= 2\cdot 2\cdot 2\cdot 2 = 16,\\ (-3)^3&= (-3)(-3)(-3) = (9)(-3) = -27,\\ 3^3 &= 3\cdot3\cdot3 = 27, \end{align*}\)

\([(-2)^4 -2^4 + (-3)^3 - 3^3 = 16-16 -27-27 = \boxed{-54} \)

sorry that was my bad, the latex didn't save when i published it :(

Can you try and do the LaTex again, please...

I'm pretty sure Melody answered it...

https://web2.0calc.com/questions/help-scientific-notation

First problem:  3 : 5  =  3 / 5  =  1 / (5 / 3)

Second problem:  x / y  =  5 / 3     --->   multiply both sides by y:  x  =  (5/3)·y

     x + y  =  56     --->     (5/3)·y + y  =  56     --->     (8/3)·y  =  56     --->     8y  =  168     --->     y  =  21

    Now that you know what y is, substitute that value into  x + y  =  56  to find out the value of x.

    Then, find out what  x - y  equals.

Third problem:  ratio of blue to green  =  2 : 7

                         ratio of green to red  =  3 : 1

     I need to know this:  blue : green : red   so I need the same number for green in the first ratio as in the second ratio.

     I can get this number by multipling 7 x 3  =  21.

     Now, I have these ratios:  blue to green  =  6 : 21

                                               green to red  =  21 : 7

     So, my ratio of  blue : green : red 

      is:                          6 :   21    : 7             (for a total of 34)

      multiplying by 2:   12 :  42   : 14            (for a total of 68)

      multiplying by 3:   18 :  63   : 21            (for a total of 102  -- too many!  --  making the previous answer the one!)   

100*10 is only 1000 ants.  There are a lot more ants than that!  So you have an error in your question.

If your question was correct.

You'd have

     18*10*100*10 g   divided by  4000kg

=    180000g             divided by   4000kg

=        180Kg             divided by   4000Kg

Note that the ants weigh less than one hippo

=        18/400     

=  0.045

=   4.5*10^(-2)     

2 \(\sqrt[4]{}\)(2³  * 3³ )

2 \(\sqrt[4]{}\)(216)

it's 6

Use the calculator ...

( 2⁷ · 3³ )^1/4  =  ( 2⁴ · 2³ · 3³ )^1/4  =  ( 2⁴ )^1/4 · ( 2³ · 3³ )^1/4  =  2 · ( 216 )^1/4

If these are matrices, their dimensions aren't correct for multiplication.

sin(B) / b  =  sin(A) / a      --->     sin(B) / 3  =  sin(31^o) / 8

multiply both sides by 3   --->     sin(b)  =  sin(31^o) / 8 · 3

find the inverse sin          --->             B  =  sin^-1( sin(31^o) / 8 · 3 )

oh, that makes sense. thank you !

Write the root as a number with a fractional exponent; the third root is the one-third power.

( 13^1/3 )⁶  =  13^{1/3 x 6}  =  13^6/3  =  13²  =  169

If a number is written in  r·cis( theta )  form, then its four fourth roots are:

     r^1/4·cis( theta/4 ),     r^1/4·cis( theta/4 + pi/4 ),     r^1/4·cis( theta/4 + 2pi/4 ),     r^1/4·cis( theta/4 + 3pi/4 ).

Writing  -4  into  r·cis( theta )  form:  -4  =  4·cis( pi )

So its four fourth roots are: 

      4^1/4·cis( pi/4 ),     4^1/4·cis( pi/4 + pi/4 ),     4^1/4·cis( pi/4 + 2pi/4 ),     4^1/4·cis( pi/4 + 3pi/4 ).

[You should simplify these answers.]

We have  that

b =  k/a          so

9  = k/ 4       multiply both sides by 4

36  = k

And when  b = -72  we have that

-72  = 36 / a           multiply both sides by  a, divide both sides by -72

a =  36 / -72   =   - 1 / 2

Note  one thing...in inverse proportions....the product of ab  is a constant value

So

ab  =    ab

4*9  =  (-1/2)(-72)

36  =  36

Did you forget the exponents on 18 x 10^?  and  100 x 10^? ?

The number could look like this:  123abcd   --->    10 x 10 x 10 x 10  =  10000  ways

or like this:  a123bcd   --->   9 x 10 x 10 x 10  =  9000  ways

  [there are only 9 possibilities for a (because 0 can't be used)]

or like this:  ab123cd   --->   9 x 10 x 10 x 10  =  9000  ways

or like this:  abc123d   --->   9 x 10 x 10 x 10  =  9000  ways  

or like this:  abcd123   --->   9 x 10 x 10 x 10  =  9000  ways

Adding these together, we get 46000 ways.

Let the numberator  =  x

Then the denominator  = 2x

So...we have this

 x + 2                3

_______  =     ____           cross-multiply  

2x  - 2               4

4 ( x + 2)  = 3 (2x - 2)     simplify

4x + 8  =  6x  - 6         add 6 to both sides, subtract 4x from both sides

2x  = 14        divide both sides by 2

x  = 7

The denominator of the original fraction = 2x  = 2(7)   =  14