Question
Simplify the expression
42a6−280
Evaluate
a6×42−200−10−70
Use the commutative property to reorder the terms
42a6−200−10−70
Solution
42a6−280
Show Solution

Factor the expression
14(3a6−20)
Evaluate
a6×42−200−10−70
Use the commutative property to reorder the terms
42a6−200−10−70
Subtract the numbers
42a6−210−70
Subtract the numbers
42a6−280
Solution
14(3a6−20)
Show Solution

Find the roots
a1=−364860,a2=364860
Alternative Form
a1≈−1.371886,a2≈1.371886
Evaluate
a6×42−200−10−70
To find the roots of the expression,set the expression equal to 0
a6×42−200−10−70=0
Use the commutative property to reorder the terms
42a6−200−10−70=0
Subtract the numbers
42a6−210−70=0
Subtract the numbers
42a6−280=0
Move the constant to the right-hand side and change its sign
42a6=0+280
Removing 0 doesn't change the value,so remove it from the expression
42a6=280
Divide both sides
4242a6=42280
Divide the numbers
a6=42280
Cancel out the common factor 14
a6=320
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±6320
Simplify the expression
More Steps

Evaluate
6320
To take a root of a fraction,take the root of the numerator and denominator separately
63620
Multiply by the Conjugate
63×635620×635
Simplify
63×635620×6243
Multiply the numbers
More Steps

Evaluate
620×6243
The product of roots with the same index is equal to the root of the product
620×243
Calculate the product
64860
63×63564860
Multiply the numbers
More Steps

Evaluate
63×635
The product of roots with the same index is equal to the root of the product
63×35
Calculate the product
636
Reduce the index of the radical and exponent with 6
3
364860
a=±364860
Separate the equation into 2 possible cases
a=364860a=−364860
Solution
a1=−364860,a2=364860
Alternative Form
a1≈−1.371886,a2≈1.371886
Show Solution
