Question
Simplify the expression
182x3−5
Evaluate
7x2×26x−5
Solution
More Steps

Evaluate
7x2×26x
Multiply the terms
182x2×x
Multiply the terms with the same base by adding their exponents
182x2+1
Add the numbers
182x3
182x3−5
Show Solution

Find the roots
x=1823165620
Alternative Form
x≈0.30174
Evaluate
7x2×26x−5
To find the roots of the expression,set the expression equal to 0
7x2×26x−5=0
Multiply
More Steps

Multiply the terms
7x2×26x
Multiply the terms
182x2×x
Multiply the terms with the same base by adding their exponents
182x2+1
Add the numbers
182x3
182x3−5=0
Move the constant to the right-hand side and change its sign
182x3=0+5
Removing 0 doesn't change the value,so remove it from the expression
182x3=5
Divide both sides
182182x3=1825
Divide the numbers
x3=1825
Take the 3-th root on both sides of the equation
3x3=31825
Calculate
x=31825
Solution
More Steps

Evaluate
31825
To take a root of a fraction,take the root of the numerator and denominator separately
318235
Multiply by the Conjugate
3182×3182235×31822
Simplify
3182×3182235×333124
Multiply the numbers
More Steps

Evaluate
35×333124
The product of roots with the same index is equal to the root of the product
35×33124
Calculate the product
3165620
3182×318223165620
Multiply the numbers
More Steps

Evaluate
3182×31822
The product of roots with the same index is equal to the root of the product
3182×1822
Calculate the product
31823
Reduce the index of the radical and exponent with 3
182
1823165620
x=1823165620
Alternative Form
x≈0.30174
Show Solution
