Solve 3root2(y^4) y - 12root2

Question

Simplify the expression

32 \times y^{5} - 122

Evaluate

32 \times y^{4} \times y - 122

Solution

More Steps

Evaluate

32 \times y^{4} \times y

Multiply the terms with the same base by adding their exponents

32 \times y^{4 + 1}

Add the numbers

32 \times y^{5}

32 \times y^{5} - 122

Show Solution

32 \times (y^{5} - 4)

Evaluate

32 \times y^{4} \times y - 122

Multiply

More Steps

Evaluate

32 \times y^{4} \times y

Multiply the terms with the same base by adding their exponents

32 \times y^{4 + 1}

Add the numbers

32 \times y^{5}

32 \times y^{5} - 122

Solution

32 \times (y^{5} - 4)

Show Solution

y = 54

Alternative Form

y \approx 1.319508

Evaluate

32 \times (y^{4}) y - 122

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

32 \times (y^{4}) y - 122 = 0

Calculate

32 \times y^{4} \times y - 122 = 0

Multiply

More Steps

Multiply the terms

32 \times y^{4} \times y

Multiply the terms with the same base by adding their exponents

32 \times y^{4 + 1}

Add the numbers

32 \times y^{5}

32 \times y^{5} - 122 = 0

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

32 \times y^{5} = 0 + 122

Add the terms

32 \times y^{5} = 122

Divide both sides

\frac{3 2 \times y ^{5}}{3 2} = \frac{12 2}{3 2}

Divide the numbers

y^{5} = \frac{12 2}{3 2}

Divide the numbers

More Steps

Evaluate

\frac{12 2}{3 2}

Cancel out the common factor 3

\frac{4 2}{2}

Reduce the fraction

4

y^{5} = 4

Take the 5 -th root on both sides of the equation

5 y^{5} = 54

Solution

y = 54

Alternative Form

y \approx 1.319508

Show Solution