Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
n=−185227×184
Alternative Form
n≈−1.660163
Evaluate
n÷3n−76=2n5×3
Find the domain
More Steps
Evaluate
3n=0
Rewrite the expression
n=0
n÷3n−76=2n5×3,n=0
Simplify
More Steps
Evaluate
n÷3n−76
Divide the terms
More Steps
Evaluate
n÷3n
Rewrite the expression
3nn
Reduce the fraction
31
31−76
Reduce fractions to a common denominator
31−376×3
Write all numerators above the common denominator
31−76×3
Multiply the numbers
31−228
Subtract the numbers
3−227
Use b−a=−ba=−ba to rewrite the fraction
−3227
−3227=2n5×3
Multiply the terms
−3227=6n5
Swap the sides of the equation
6n5=−3227
Multiply by the reciprocal
6n5×61=−3227×61
Multiply
n5=−3227×61
Multiply
More Steps
Evaluate
−3227×61
To multiply the fractions,multiply the numerators and denominators separately
−3×6227
Multiply the numbers
−18227
n5=−18227
Take the 5-th root on both sides of the equation
5n5=5−18227
Calculate
n=5−18227
Simplify the root
More Steps
Evaluate
5−18227
An odd root of a negative radicand is always a negative
−518227
To take a root of a fraction,take the root of the numerator and denominator separately
−5185227
Multiply by the Conjugate
518×5184−5227×5184
The product of roots with the same index is equal to the root of the product
518×5184−5227×184
Multiply the numbers
More Steps
Evaluate
518×5184
The product of roots with the same index is equal to the root of the product
518×184
Calculate the product
5185
Reduce the index of the radical and exponent with 5
18
18−5227×184
Calculate
−185227×184
n=−185227×184
Check if the solution is in the defined range
n=−185227×184,n=0
Solution
n=−185227×184
Alternative Form
n≈−1.660163
Show Solution
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