Question
Solve the equation
a=−7524010
Alternative Form
a≈−1.073941
Evaluate
2(−7a5)=20
Multiply the numbers
More Steps

Evaluate
2(−7)
Multiplying or dividing an odd number of negative terms equals a negative
−2×7
Multiply the numbers
−14
−14a5=20
Change the signs on both sides of the equation
14a5=−20
Divide both sides
1414a5=14−20
Divide the numbers
a5=14−20
Divide the numbers
More Steps

Evaluate
14−20
Cancel out the common factor 2
7−10
Use b−a=−ba=−ba to rewrite the fraction
−710
a5=−710
Take the 5-th root on both sides of the equation
5a5=5−710
Calculate
a=5−710
Solution
More Steps

Evaluate
5−710
An odd root of a negative radicand is always a negative
−5710
To take a root of a fraction,take the root of the numerator and denominator separately
−57510
Multiply by the Conjugate
57×574−510×574
Simplify
57×574−510×52401
Multiply the numbers
More Steps

Evaluate
−510×52401
The product of roots with the same index is equal to the root of the product
−510×2401
Calculate the product
−524010
57×574−524010
Multiply the numbers
More Steps

Evaluate
57×574
The product of roots with the same index is equal to the root of the product
57×74
Calculate the product
575
Reduce the index of the radical and exponent with 5
7
7−524010
Calculate
−7524010
a=−7524010
Alternative Form
a≈−1.073941
Show Solution
