Write each of these numbers in factored form:
144 = 2^4 x 3^2
108 = 2^2 x 3^3
90 = 2 x 3^2 ^ 5
The greatest common factor is 2 x 3^2 = 18
So, you can make 18 baskets:
each will have 8 apples, 6 pears, and 5 oranges.
If the problem is: 3^x = 1/9,
then write 1/9 as 3^-2,
so you have: 3^x = 3^-2,
so x = -2.
If you have a decimal expresion that repeats (such as: 0.222... or 0.123123123...) or terminates (such as 0.23), then you have a rational numer.
If it does not repeat and does not terminate, then it is an irrational number.
I wouldn't substitute.
If you started with -2(x + 1) ^ (1/2) and differentiated that expression,
you would have: (1/2)(-2)(x + 1) ^ (-1/2)·1 = -1(x + 1)^(-1/2).
Just do an antiderivative of a polynomial-type expression to get -2(x + 1) ^ (1/2).
To get the numerator of your answer, multiply the numerators of the problem together: 7 x 4 = 28.
To get the denominator of your answer, multiply the denominators of the problem together: 8 x 3 = 24
Answer: 28/24
To reduce your answer, divide both the numerator and denominator by 4: 7/6
I think; therefore, I am.
I think that I am a bot; therefore, ...
I think that I am a person; therefore, ...
I think that I am a billionaire; therefore, ...
'Standard form' is also 'scientific form", with the decimal point placed after then first (from the left) non-zero digit, and with an appropriate exponent of 10: 1.4 x 10^18.
Can you be more specific?
How to do them by calculator?
How to simplify a square root expression?
How to find a decimal approximation by hand?
Yes, it is.
You can check this by division: 1/9 = 0.111111111...
The rules of operation say that division and multiplication are equally important, so calculate them, in order, from left to right.
16 ÷ 4(4) Do the division first, because it is to the left of the multiplication.
= (16 ÷ 4)(4)
= (4)(4)
= 16
