Solve dd^4781-10 - ScanMath

Question

Simplify the expression

781 d^{5} - 10

Evaluate

d \times d^{4} \times 781 - 10

Solution

More Steps

Evaluate

d \times d^{4} \times 781

Multiply the terms with the same base by adding their exponents

d^{1 + 4} \times 781

Add the numbers

d^{5} \times 781

Use the commutative property to reorder the terms

781 d^{5}

781 d^{5} - 10

Show Solution

d = \frac{5 10 \times 78 1 ^{4}}{781}

Alternative Form

d \approx 0.418283

Evaluate

d \times d^{4} \times 781 - 10

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

d \times d^{4} \times 781 - 10 = 0

Multiply

More Steps

Multiply the terms

d \times d^{4} \times 781

Multiply the terms with the same base by adding their exponents

d^{1 + 4} \times 781

Add the numbers

d^{5} \times 781

Use the commutative property to reorder the terms

781 d^{5}

781 d^{5} - 10 = 0

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

781 d^{5} = 0 + 10

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

781 d^{5} = 10

Divide both sides

\frac{781 d ^{5}}{781} = \frac{10}{781}

Divide the numbers

d^{5} = \frac{10}{781}

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

5 d^{5} = 5 \frac{10}{781}

Calculate

d = 5 \frac{10}{781}

Solution

More Steps

Evaluate

5 \frac{10}{781}

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

\frac{5 10}{5 781}

Multiply by the Conjugate

\frac{5 10 \times 5 78 1 ^{4}}{5 781 \times 5 78 1 ^{4}}

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

\frac{5 10 \times 78 1 ^{4}}{5 781 \times 5 78 1 ^{4}}

Multiply the numbers

More Steps

Evaluate

5781 \times 5 78 1^{4}

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

5 781 \times 78 1^{4}

Calculate the product

5 78 1^{5}

Reduce the index of the radical and exponent with 5

781

\frac{5 10 \times 78 1 ^{4}}{781}

d = \frac{5 10 \times 78 1 ^{4}}{781}

Alternative Form

d \approx 0.418283

Show Solution