Solve 2016-9 d^51

Question

Simplify the expression

2016 - 9 d^{5}

Evaluate

2016 - 9 d^{5} \times 1

Solution

2016 - 9 d^{5}

Show Solution

9 (224 - d^{5})

Evaluate

2016 - 9 d^{5} \times 1

Multiply the terms

2016 - 9 d^{5}

Solution

9 (224 - d^{5})

Show Solution

d = 257

Alternative Form

d \approx 2.951546

Evaluate

2016 - 9 d^{5} \times 1

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

2016 - 9 d^{5} \times 1 = 0

Multiply the terms

2016 - 9 d^{5} = 0

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

- 9 d^{5} = 0 - 2016

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

- 9 d^{5} = - 2016

Change the signs on both sides of the equation

9 d^{5} = 2016

Divide both sides

\frac{9 d ^{5}}{9} = \frac{2016}{9}

Divide the numbers

d^{5} = \frac{2016}{9}

Divide the numbers

More Steps

Evaluate

\frac{2016}{9}

Reduce the numbers

\frac{224}{1}

Calculate

224

d^{5} = 224

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

5 d^{5} = 5224

Calculate

d = 5224

Solution

More Steps

Evaluate

5224

Write the expression as a product where the root of one of the factors can be evaluated

5 32 \times 7

Write the number in exponential form with the base of 2

5 2^{5} \times 7

The root of a product is equal to the product of the roots of each factor

5 2^{5} \times 57

Reduce the index of the radical and exponent with 5

257

d = 257

Alternative Form

d \approx 2.951546

Show Solution