Question
Simplify the expression
3−2a9
Evaluate
3−2a3×a5×a
Solution
More Steps

Evaluate
2a3×a5×a
Multiply the terms with the same base by adding their exponents
2a3+5+1
Add the numbers
2a9
3−2a9
Show Solution

Find the roots
a=29768
Alternative Form
a≈1.046082
Evaluate
3−2a3×a5×a
To find the roots of the expression,set the expression equal to 0
3−2a3×a5×a=0
Multiply
More Steps

Multiply the terms
2a3×a5×a
Multiply the terms with the same base by adding their exponents
2a3+5+1
Add the numbers
2a9
3−2a9=0
Move the constant to the right-hand side and change its sign
−2a9=0−3
Removing 0 doesn't change the value,so remove it from the expression
−2a9=−3
Change the signs on both sides of the equation
2a9=3
Divide both sides
22a9=23
Divide the numbers
a9=23
Take the 9-th root on both sides of the equation
9a9=923
Calculate
a=923
Solution
More Steps

Evaluate
923
To take a root of a fraction,take the root of the numerator and denominator separately
9293
Multiply by the Conjugate
92×92893×928
Simplify
92×92893×9256
Multiply the numbers
More Steps

Evaluate
93×9256
The product of roots with the same index is equal to the root of the product
93×256
Calculate the product
9768
92×9289768
Multiply the numbers
More Steps

Evaluate
92×928
The product of roots with the same index is equal to the root of the product
92×28
Calculate the product
929
Reduce the index of the radical and exponent with 9
2
29768
a=29768
Alternative Form
a≈1.046082
Show Solution
