Solve d^596-4 - ScanMath

Question

Simplify the expression

96 d^{5} - 4

Evaluate

d^{5} \times 96 - 4

Solution

96 d^{5} - 4

Show Solution

4 (24 d^{5} - 1)

Evaluate

d^{5} \times 96 - 4

Use the commutative property to reorder the terms

96 d^{5} - 4

Solution

4 (24 d^{5} - 1)

Show Solution

d = \frac{5 2 4 ^{4}}{24}

Alternative Form

d \approx 0.529612

Evaluate

d^{5} \times 96 - 4

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

d^{5} \times 96 - 4 = 0

Use the commutative property to reorder the terms

96 d^{5} - 4 = 0

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

96 d^{5} = 0 + 4

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

96 d^{5} = 4

Divide both sides

\frac{96 d ^{5}}{96} = \frac{4}{96}

Divide the numbers

d^{5} = \frac{4}{96}

Cancel out the common factor 4

d^{5} = \frac{1}{24}

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

5 d^{5} = 5 \frac{1}{24}

Calculate

d = 5 \frac{1}{24}

Solution

More Steps

Evaluate

5 \frac{1}{24}

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

\frac{5 1}{5 24}

Simplify the radical expression

\frac{1}{5 24}

Multiply by the Conjugate

\frac{5 2 4 ^{4}}{5 24 \times 5 2 4 ^{4}}

Multiply the numbers

More Steps

Evaluate

524 \times 5 2 4^{4}

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

5 24 \times 2 4^{4}

Calculate the product

5 2 4^{5}

Reduce the index of the radical and exponent with 5

24

\frac{5 2 4 ^{4}}{24}

d = \frac{5 2 4 ^{4}}{24}

Alternative Form

d \approx 0.529612

Show Solution