Solve dd^4459-100

Question

Simplify the expression

459 d^{5} - 100

Evaluate

d \times d^{4} \times 459 - 100

Solution

More Steps

Evaluate

d \times d^{4} \times 459

Multiply the terms with the same base by adding their exponents

d^{1 + 4} \times 459

Add the numbers

d^{5} \times 459

Use the commutative property to reorder the terms

459 d^{5}

459 d^{5} - 100

Show Solution

d = \frac{5 100 \times 45 9 ^{4}}{459}

Alternative Form

d \approx 0.737289

Evaluate

d \times d^{4} \times 459 - 100

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

d \times d^{4} \times 459 - 100 = 0

Multiply

More Steps

Multiply the terms

d \times d^{4} \times 459

Multiply the terms with the same base by adding their exponents

d^{1 + 4} \times 459

Add the numbers

d^{5} \times 459

Use the commutative property to reorder the terms

459 d^{5}

459 d^{5} - 100 = 0

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

459 d^{5} = 0 + 100

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

459 d^{5} = 100

Divide both sides

\frac{459 d ^{5}}{459} = \frac{100}{459}

Divide the numbers

d^{5} = \frac{100}{459}

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

5 d^{5} = 5 \frac{100}{459}

Calculate

d = 5 \frac{100}{459}

Solution

More Steps

Evaluate

5 \frac{100}{459}

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

\frac{5 100}{5 459}

Multiply by the Conjugate

\frac{5 100 \times 5 45 9 ^{4}}{5 459 \times 5 45 9 ^{4}}

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

\frac{5 100 \times 45 9 ^{4}}{5 459 \times 5 45 9 ^{4}}

Multiply the numbers

More Steps

Evaluate

5459 \times 5 45 9^{4}

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

5 459 \times 45 9^{4}

Calculate the product

5 45 9^{5}

Reduce the index of the radical and exponent with 5

459

\frac{5 100 \times 45 9 ^{4}}{459}

d = \frac{5 100 \times 45 9 ^{4}}{459}

Alternative Form

d \approx 0.737289

Show Solution