8.19e+12
Explanation:
STEP
1
:
1.1 10 = 2•5
(10)11 = (2•5)11 = 211 • 511
Equation at the end of step
1
:
81
(9•(x(10^12)))-(——•(x(2^11•5^11)))
10
STEP
2
:
81
Simplify ——
10
Equation at the end of step
2
:
81
(9 • (x(10^12))) - (—— • x1215752192)
10
STEP
3
:
Equation at the end of step 3
81x1215752192
(9 • (x(10^12))) - —————————————
10
STEP
4
:
4.1 10 = 2•5
(10)12 = (2•5)12 = 212 • 512
Equation at the end of step
4
:
81x1215752192
(9 • (x(2^12•5^12))) - —————————————
10
STEP
5
:
Equation at the end of step
5
:
81x1215752192
32x(-727379968) - —————————————
10
STEP
6
:
Rewriting the whole as an Equivalent Fraction
6.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 10 as the denominator :
32x(-727379968) 32x(-727379968) • 10
32x(-727379968) = ——————————————— = ————————————————————
1 10
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
6.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
32x(-727379968) • 10 - (81x1215752192) 90x(-727379968) - 81x1215752192
—————————————————————————————————————— = ———————————————————————————————
10 10
STEP
7
:
Pulling out like terms :
7.1 Pull out like factors :
90x(-727379968) - 81x1215752192 = -9x(-727379968) • (9x1943132160 - 10)
Trying to factor as a Difference of Squares:
7.2 Factoring: 9x1943132160 - 10
Check : 9 is not a cube !!
Ruling : Binomial can not be factored as the difference of two perfect cubes
Final result :
-9x(-727379968) • (9x1943132160 - 10)
10
