Question
Simplify the expression
7a5−2
Evaluate
7a5−1−1
Solution
7a5−2
Show Solution

Find the roots
a=754802
Alternative Form
a≈0.778371
Evaluate
7a5−1−1
To find the roots of the expression,set the expression equal to 0
7a5−1−1=0
Subtract the numbers
7a5−2=0
Move the constant to the right-hand side and change its sign
7a5=0+2
Removing 0 doesn't change the value,so remove it from the expression
7a5=2
Divide both sides
77a5=72
Divide the numbers
a5=72
Take the 5-th root on both sides of the equation
5a5=572
Calculate
a=572
Solution
More Steps

Evaluate
572
To take a root of a fraction,take the root of the numerator and denominator separately
5752
Multiply by the Conjugate
57×57452×574
Simplify
57×57452×52401
Multiply the numbers
More Steps

Evaluate
52×52401
The product of roots with the same index is equal to the root of the product
52×2401
Calculate the product
54802
57×57454802
Multiply the numbers
More Steps

Evaluate
57×574
The product of roots with the same index is equal to the root of the product
57×74
Calculate the product
575
Reduce the index of the radical and exponent with 5
7
754802
a=754802
Alternative Form
a≈0.778371
Show Solution
