Question
Solve the equation
x=77453789
Alternative Form
x≈0.918383
Evaluate
7x2×7x5=27
Multiply
More Steps

Evaluate
7x2×7x5
Multiply the terms
49x2×x5
Multiply the terms with the same base by adding their exponents
49x2+5
Add the numbers
49x7
49x7=27
Divide both sides
4949x7=4927
Divide the numbers
x7=4927
Take the 7-th root on both sides of the equation
7x7=74927
Calculate
x=74927
Solution
More Steps

Evaluate
74927
To take a root of a fraction,take the root of the numerator and denominator separately
749727
Multiply by the Conjugate
749×7496727×7496
Simplify
749×7496727×7716807
Multiply the numbers
More Steps

Evaluate
727×7716807
Multiply the terms
7453789×7
Use the commutative property to reorder the terms
77453789
749×749677453789
Multiply the numbers
More Steps

Evaluate
749×7496
The product of roots with the same index is equal to the root of the product
749×496
Calculate the product
7497
Transform the expression
7714
Reduce the index of the radical and exponent with 7
72
7277453789
Reduce the fraction
More Steps

Evaluate
727
Use the product rule aman=an−m to simplify the expression
72−11
Subtract the terms
711
Simplify
71
77453789
x=77453789
Alternative Form
x≈0.918383
Show Solution
