Question
Solve the equation
a=1267736×12676
Alternative Form
a≈0.601278
Evaluate
7a×905a6=180
Multiply
More Steps

Evaluate
7a×905a6
Multiply the terms
6335a×a6
Multiply the terms with the same base by adding their exponents
6335a1+6
Add the numbers
6335a7
6335a7=180
Divide both sides
63356335a7=6335180
Divide the numbers
a7=6335180
Cancel out the common factor 5
a7=126736
Take the 7-th root on both sides of the equation
7a7=7126736
Calculate
a=7126736
Solution
More Steps

Evaluate
7126736
To take a root of a fraction,take the root of the numerator and denominator separately
71267736
Multiply by the Conjugate
71267×712676736×712676
The product of roots with the same index is equal to the root of the product
71267×712676736×12676
Multiply the numbers
More Steps

Evaluate
71267×712676
The product of roots with the same index is equal to the root of the product
71267×12676
Calculate the product
712677
Reduce the index of the radical and exponent with 7
1267
1267736×12676
a=1267736×12676
Alternative Form
a≈0.601278
Show Solution
