Question
Solve the equation
t=−5231690
Alternative Form
t≈−0.229065
Evaluate
5=−16t2×26t
Multiply
More Steps

Evaluate
−16t2×26t
Multiply the terms
−416t2×t
Multiply the terms with the same base by adding their exponents
−416t2+1
Add the numbers
−416t3
5=−416t3
Swap the sides of the equation
−416t3=5
Change the signs on both sides of the equation
416t3=−5
Divide both sides
416416t3=416−5
Divide the numbers
t3=416−5
Use b−a=−ba=−ba to rewrite the fraction
t3=−4165
Take the 3-th root on both sides of the equation
3t3=3−4165
Calculate
t=3−4165
Solution
More Steps

Evaluate
3−4165
An odd root of a negative radicand is always a negative
−34165
To take a root of a fraction,take the root of the numerator and denominator separately
−341635
Simplify the radical expression
More Steps

Evaluate
3416
Write the expression as a product where the root of one of the factors can be evaluated
38×52
Write the number in exponential form with the base of 2
323×52
The root of a product is equal to the product of the roots of each factor
323×352
Reduce the index of the radical and exponent with 3
2352
−235235
Multiply by the Conjugate
2352×3522−35×3522
Simplify
2352×3522−35×23338
Multiply the numbers
More Steps

Evaluate
−35×23338
Multiply the terms
−31690×2
Use the commutative property to reorder the terms
−231690
2352×3522−231690
Multiply the numbers
More Steps

Evaluate
2352×3522
Multiply the terms
2×52
Multiply the terms
104
104−231690
Cancel out the common factor 2
52−31690
Calculate
−5231690
t=−5231690
Alternative Form
t≈−0.229065
Show Solution
