Question
Solve the equation
a=−10350
Alternative Form
a≈−0.368403
Evaluate
2a2×20a=−2
Multiply
More Steps

Evaluate
2a2×20a
Multiply the terms
40a2×a
Multiply the terms with the same base by adding their exponents
40a2+1
Add the numbers
40a3
40a3=−2
Divide both sides
4040a3=40−2
Divide the numbers
a3=40−2
Divide the numbers
More Steps

Evaluate
40−2
Cancel out the common factor 2
20−1
Use b−a=−ba=−ba to rewrite the fraction
−201
a3=−201
Take the 3-th root on both sides of the equation
3a3=3−201
Calculate
a=3−201
Solution
More Steps

Evaluate
3−201
An odd root of a negative radicand is always a negative
−3201
To take a root of a fraction,take the root of the numerator and denominator separately
−32031
Simplify the radical expression
−3201
Multiply by the Conjugate
320×3202−3202
Simplify
320×3202−2350
Multiply the numbers
More Steps

Evaluate
320×3202
The product of roots with the same index is equal to the root of the product
320×202
Calculate the product
3203
Reduce the index of the radical and exponent with 3
20
20−2350
Cancel out the common factor 2
10−350
Calculate
−10350
a=−10350
Alternative Form
a≈−0.368403
Show Solution
