Solve 3 - 2a^3a^5a

Question

Simplify the expression

3 - 2 a^{9}

Evaluate

3 - 2 a^{3} \times a^{5} \times a

Solution

More Steps

Evaluate

2 a^{3} \times a^{5} \times a

Multiply the terms with the same base by adding their exponents

2 a^{3 + 5 + 1}

Add the numbers

2 a^{9}

3 - 2 a^{9}

Show Solution

a = \frac{9 768}{2}

Alternative Form

a \approx 1.046082

Evaluate

3 - 2 a^{3} \times a^{5} \times a

To find the roots of the expression,set the expression equal to 0

3 - 2 a^{3} \times a^{5} \times a = 0

Multiply

More Steps

Multiply the terms

2 a^{3} \times a^{5} \times a

Multiply the terms with the same base by adding their exponents

2 a^{3 + 5 + 1}

Add the numbers

2 a^{9}

3 - 2 a^{9} = 0

Move the constant to the right-hand side and change its sign

- 2 a^{9} = 0 - 3

Removing 0 doesn't change the value,so remove it from the expression

- 2 a^{9} = - 3

Change the signs on both sides of the equation

2 a^{9} = 3

Divide both sides

\frac{2 a ^{9}}{2} = \frac{3}{2}

Divide the numbers

a^{9} = \frac{3}{2}

Take the 9 -th root on both sides of the equation

9 a^{9} = 9 \frac{3}{2}

Calculate

a = 9 \frac{3}{2}

Solution

More Steps

Evaluate

9 \frac{3}{2}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{9 3}{9 2}

Multiply by the Conjugate

\frac{9 3 \times 9 2 ^{8}}{9 2 \times 9 2 ^{8}}

Simplify

\frac{9 3 \times 9 256}{9 2 \times 9 2 ^{8}}

Multiply the numbers

More Steps

Evaluate

93 \times 9256

The product of roots with the same index is equal to the root of the product

9 3 \times 256

Calculate the product

9768

\frac{9 768}{9 2 \times 9 2 ^{8}}

Multiply the numbers

More Steps

Evaluate

92 \times 9 2^{8}

The product of roots with the same index is equal to the root of the product

9 2 \times 2^{8}

Calculate the product

9 2^{9}

Reduce the index of the radical and exponent with 9

2

\frac{9 768}{2}

a = \frac{9 768}{2}

Alternative Form

a \approx 1.046082

Show Solution