Question
Solve the equation
m=1199×117
Alternative Form
m≈0.749215
Evaluate
4m6×605m3=180
Multiply
More Steps

Evaluate
4m6×605m3
Multiply the terms
2420m6×m3
Multiply the terms with the same base by adding their exponents
2420m6+3
Add the numbers
2420m9
2420m9=180
Divide both sides
24202420m9=2420180
Divide the numbers
m9=2420180
Cancel out the common factor 20
m9=1219
Take the 9-th root on both sides of the equation
9m9=91219
Calculate
m=91219
Solution
More Steps

Evaluate
91219
To take a root of a fraction,take the root of the numerator and denominator separately
912199
Multiply by the Conjugate
9121×9121899×91218
Simplify
9121×9121899×119117
Multiply the numbers
More Steps

Evaluate
99×119117
The product of roots with the same index is equal to the root of the product
99×117×11
Use the commutative property to reorder the terms
1199×117
9121×912181199×117
Multiply the numbers
More Steps

Evaluate
9121×91218
The product of roots with the same index is equal to the root of the product
9121×1218
Calculate the product
91219
Transform the expression
91118
Reduce the index of the radical and exponent with 9
112
1121199×117
Reduce the fraction
More Steps

Evaluate
11211
Use the product rule aman=an−m to simplify the expression
112−11
Subtract the terms
1111
Simplify
111
1199×117
m=1199×117
Alternative Form
m≈0.749215
Show Solution
