Answer:
= -12582912/
1977326743
≅ -0.006363598
Explanation:
Exponentiation: (-4/
7
) ^ 2 = -42/
72
= 16/
49
In other words - minus four sevenths raised to the power of squared is sixteen forty-ninths.
Exponentiation: the result of step No. 1 ^ 6 = 16/
49
^ 6 = 166/
496
= 16777216/
13841287201
In other words - sixteen forty-ninths raised to the power of to six is sixteen million seven hundred seventy-seven thousand two hundred sixteen over thirteen billion eight hundred forty-one million two hundred eighty-seven thousand two hundred one.
Exponentiation: (-4/
7
) ^ 2 = -42/
72
= 16/
49
In other words - minus four sevenths raised to the power of squared is sixteen forty-ninths.
Divide: the result of step No. 2 : the result of step No. 3 = 16777216/
13841287201
: 16/
49
= 16777216/
13841287201
· 49/
16
= 16777216 · 49/
13841287201 · 16
= 822083584/
221460595216
= 784 · 1048576/
784 · 282475249
= 1048576/
282475249
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 16/
49
is 49/
16
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 784 gives 1048576/
282475249
.
In other words - sixteen million seven hundred seventy-seven thousand two hundred sixteen over thirteen billion eight hundred forty-one million two hundred eighty-seven thousand two hundred one divided by sixteen forty-ninths is one million forty-eight thousand five hundred seventy-six over two hundred eighty-two million four hundred seventy-five thousand two hundred forty-nine.
Multiple: the result of step No. 4 * 3 = 1048576/
282475249
* 3 = 1048576 · 3/
282475249 · 1
= 3145728/
282475249
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(3145728, 282475249) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - one million forty-eight thousand five hundred seventy-six over two hundred eighty-two million four hundred seventy-five thousand two hundred forty-nine multiplied by three is three million one hundred forty-five thousand seven hundred twenty-eight over two hundred eighty-two million four hundred seventy-five thousand two hundred forty-nine.
Multiple: the result of step No. 5 * (-4/
7
) = 3145728/
282475249
* (-4/
7
) = 3145728 · (-4)/
282475249 · 7
= -12582912/
1977326743
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-12582912, 1977326743) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - three million one hundred forty-five thousand seven hundred twenty-eight over two hundred eighty-two million four hundred seventy-five thousand two hundred forty-nine multiplied by minus four sevenths is minus twelve million five hundred eighty-two thousand nine hundred twelve over one billion nine hundred seventy-seven million three hundred twenty-six thousand seven hundred forty-three
