Solve dd^4683-10 - ScanMath

Question

Simplify the expression

683 d^{5} - 10

Evaluate

d \times d^{4} \times 683 - 10

Solution

More Steps

Evaluate

d \times d^{4} \times 683

Multiply the terms with the same base by adding their exponents

d^{1 + 4} \times 683

Add the numbers

d^{5} \times 683

Use the commutative property to reorder the terms

683 d^{5}

683 d^{5} - 10

Show Solution

d = \frac{5 10 \times 68 3 ^{4}}{683}

Alternative Form

d \approx 0.429651

Evaluate

d \times d^{4} \times 683 - 10

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

d \times d^{4} \times 683 - 10 = 0

Multiply

More Steps

Multiply the terms

d \times d^{4} \times 683

Multiply the terms with the same base by adding their exponents

d^{1 + 4} \times 683

Add the numbers

d^{5} \times 683

Use the commutative property to reorder the terms

683 d^{5}

683 d^{5} - 10 = 0

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

683 d^{5} = 0 + 10

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

683 d^{5} = 10

Divide both sides

\frac{683 d ^{5}}{683} = \frac{10}{683}

Divide the numbers

d^{5} = \frac{10}{683}

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

5 d^{5} = 5 \frac{10}{683}

Calculate

d = 5 \frac{10}{683}

Solution

More Steps

Evaluate

5 \frac{10}{683}

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

\frac{5 10}{5 683}

Multiply by the Conjugate

\frac{5 10 \times 5 68 3 ^{4}}{5 683 \times 5 68 3 ^{4}}

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

\frac{5 10 \times 68 3 ^{4}}{5 683 \times 5 68 3 ^{4}}

Multiply the numbers

More Steps

Evaluate

5683 \times 5 68 3^{4}

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

5 683 \times 68 3^{4}

Calculate the product

5 68 3^{5}

Reduce the index of the radical and exponent with 5

683

\frac{5 10 \times 68 3 ^{4}}{683}

d = \frac{5 10 \times 68 3 ^{4}}{683}

Alternative Form

d \approx 0.429651

Show Solution