Question
Solve the equation
d=−31
Alternative Form
d=−0.3˙
Evaluate
12d×9d2=−4
Multiply
More Steps

Evaluate
12d×9d2
Multiply the terms
108d×d2
Multiply the terms with the same base by adding their exponents
108d1+2
Add the numbers
108d3
108d3=−4
Divide both sides
108108d3=108−4
Divide the numbers
d3=108−4
Divide the numbers
More Steps

Evaluate
108−4
Cancel out the common factor 4
27−1
Use b−a=−ba=−ba to rewrite the fraction
−271
d3=−271
Take the 3-th root on both sides of the equation
3d3=3−271
Calculate
d=3−271
Solution
More Steps

Evaluate
3−271
An odd root of a negative radicand is always a negative
−3271
To take a root of a fraction,take the root of the numerator and denominator separately
−32731
Simplify the radical expression
−3271
Simplify the radical expression
More Steps

Evaluate
327
Write the number in exponential form with the base of 3
333
Reduce the index of the radical and exponent with 3
3
−31
d=−31
Alternative Form
d=−0.3˙
Show Solution
