Solve 92-4y^554 - ScanMath

Question

Simplify the expression

92 - 216 y^{5}

Evaluate

92 - 4 y^{5} \times 54

Solution

92 - 216 y^{5}

Show Solution

4 (23 - 54 y^{5})

Evaluate

92 - 4 y^{5} \times 54

Multiply the terms

92 - 216 y^{5}

Solution

4 (23 - 54 y^{5})

Show Solution

y = \frac{5 23 \times 5 4 ^{4}}{54}

Alternative Form

y \approx 0.843076

Evaluate

92 - 4 y^{5} \times 54

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

92 - 4 y^{5} \times 54 = 0

Multiply the terms

92 - 216 y^{5} = 0

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

- 216 y^{5} = 0 - 92

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

- 216 y^{5} = - 92

Change the signs on both sides of the equation

216 y^{5} = 92

Divide both sides

\frac{216 y ^{5}}{216} = \frac{92}{216}

Divide the numbers

y^{5} = \frac{92}{216}

Cancel out the common factor 4

y^{5} = \frac{23}{54}

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

5 y^{5} = 5 \frac{23}{54}

Calculate

y = 5 \frac{23}{54}

Solution

More Steps

Evaluate

5 \frac{23}{54}

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

\frac{5 23}{5 54}

Multiply by the Conjugate

\frac{5 23 \times 5 5 4 ^{4}}{5 54 \times 5 5 4 ^{4}}

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

\frac{5 23 \times 5 4 ^{4}}{5 54 \times 5 5 4 ^{4}}

Multiply the numbers

More Steps

Evaluate

554 \times 5 5 4^{4}

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

5 54 \times 5 4^{4}

Calculate the product

5 5 4^{5}

Reduce the index of the radical and exponent with 5

54

\frac{5 23 \times 5 4 ^{4}}{54}

y = \frac{5 23 \times 5 4 ^{4}}{54}

Alternative Form

y \approx 0.843076

Show Solution