Question
Simplify the expression
a3−2649421
Evaluate
a3−8541127÷24
Covert the mixed number to an improper fraction
More Steps

Convert the expressions
8541127
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
11854×11+27
Multiply the terms
119394+27
Add the terms
119421
a3−119421÷24
Solution
More Steps

Evaluate
119421÷24
Multiply by the reciprocal
119421×241
To multiply the fractions,multiply the numerators and denominators separately
11×249421
Multiply the numbers
2649421
a3−2649421
Show Solution

Factor the expression
2641(264a3−9421)
Evaluate
a3−8541127÷24
Covert the mixed number to an improper fraction
More Steps

Convert the expressions
8541127
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
11854×11+27
Multiply the terms
119394+27
Add the terms
119421
a3−119421÷24
Divide the terms
More Steps

Evaluate
119421÷24
Multiply by the reciprocal
119421×241
To multiply the fractions,multiply the numerators and denominators separately
11×249421
Multiply the numbers
2649421
a3−2649421
Solution
2641(264a3−9421)
Show Solution

Find the roots
a=66310259469
Alternative Form
a≈3.292287
Evaluate
a3−8541127÷24
To find the roots of the expression,set the expression equal to 0
a3−8541127÷24=0
Covert the mixed number to an improper fraction
More Steps

Convert the expressions
8541127
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
11854×11+27
Multiply the terms
119394+27
Add the terms
119421
a3−119421÷24=0
Divide the terms
More Steps

Evaluate
119421÷24
Multiply by the reciprocal
119421×241
To multiply the fractions,multiply the numerators and denominators separately
11×249421
Multiply the numbers
2649421
a3−2649421=0
Move the constant to the right-hand side and change its sign
a3=0+2649421
Add the terms
a3=2649421
Take the 3-th root on both sides of the equation
3a3=32649421
Calculate
a=32649421
Solution
More Steps

Evaluate
32649421
To take a root of a fraction,take the root of the numerator and denominator separately
326439421
Simplify the radical expression
More Steps

Evaluate
3264
Write the expression as a product where the root of one of the factors can be evaluated
38×33
Write the number in exponential form with the base of 2
323×33
The root of a product is equal to the product of the roots of each factor
323×333
Reduce the index of the radical and exponent with 3
2333
233339421
Multiply by the Conjugate
2333×333239421×3332
Simplify
2333×333239421×31089
Multiply the numbers
More Steps

Evaluate
39421×31089
The product of roots with the same index is equal to the root of the product
39421×1089
Calculate the product
310259469
2333×3332310259469
Multiply the numbers
More Steps

Evaluate
2333×3332
Multiply the terms
2×33
Multiply the terms
66
66310259469
a=66310259469
Alternative Form
a≈3.292287
Show Solution
