Question
Simplify the expression
a7−12
Evaluate
(a2×a×1)(a2×a2)−12
Remove the parentheses
a2×a×1×a2×a2−12
Solution
More Steps

Evaluate
a2×a×1×a2×a2
Rewrite the expression
a2×a×a2×a2
Multiply the terms with the same base by adding their exponents
a2+1+2+2
Add the numbers
a7
a7−12
Show Solution

Find the roots
a=712
Alternative Form
a≈1.426162
Evaluate
(a2×a×1)(a2×a2)−12
To find the roots of the expression,set the expression equal to 0
(a2×a×1)(a2×a2)−12=0
Multiply the terms
More Steps

Multiply the terms
a2×a×1
Rewrite the expression
a2×a
Use the product rule an×am=an+m to simplify the expression
a2+1
Add the numbers
a3
a3(a2×a2)−12=0
Multiply the terms
More Steps

Evaluate
a2×a2
Use the product rule an×am=an+m to simplify the expression
a2+2
Add the numbers
a4
a3×a4−12=0
Multiply the terms
More Steps

Evaluate
a3×a4
Use the product rule an×am=an+m to simplify the expression
a3+4
Add the numbers
a7
a7−12=0
Move the constant to the right-hand side and change its sign
a7=0+12
Removing 0 doesn't change the value,so remove it from the expression
a7=12
Take the 7-th root on both sides of the equation
7a7=712
Solution
a=712
Alternative Form
a≈1.426162
Show Solution
