Question
Solve the equation
m=−7335
Alternative Form
m≈−0.467295
Evaluate
−49m3=5
Change the signs on both sides of the equation
49m3=−5
Divide both sides
4949m3=49−5
Divide the numbers
m3=49−5
Use b−a=−ba=−ba to rewrite the fraction
m3=−495
Take the 3-th root on both sides of the equation
3m3=3−495
Calculate
m=3−495
Solution
More Steps

Evaluate
3−495
An odd root of a negative radicand is always a negative
−3495
To take a root of a fraction,take the root of the numerator and denominator separately
−34935
Multiply by the Conjugate
349×3492−35×3492
Simplify
349×3492−35×737
Multiply the numbers
More Steps

Evaluate
−35×737
Multiply the terms
−335×7
Use the commutative property to reorder the terms
−7335
349×3492−7335
Multiply the numbers
More Steps

Evaluate
349×3492
The product of roots with the same index is equal to the root of the product
349×492
Calculate the product
3493
Transform the expression
376
Reduce the index of the radical and exponent with 3
72
72−7335
Reduce the fraction
More Steps

Evaluate
72−7
Use the product rule aman=an−m to simplify the expression
72−1−1
Subtract the terms
71−1
Simplify
7−1
7−335
Calculate
−7335
m=−7335
Alternative Form
m≈−0.467295
Show Solution
