Solve dd^6869-355

Question

Simplify the expression

869 d^{7} - 355

Evaluate

d \times d^{6} \times 869 - 355

Solution

More Steps

Evaluate

d \times d^{6} \times 869

Multiply the terms with the same base by adding their exponents

d^{1 + 6} \times 869

Add the numbers

d^{7} \times 869

Use the commutative property to reorder the terms

869 d^{7}

869 d^{7} - 355

Show Solution

d = \frac{7 355 \times 86 9 ^{6}}{869}

Alternative Form

d \approx 0.879951

Evaluate

d \times d^{6} \times 869 - 355

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

d \times d^{6} \times 869 - 355 = 0

Multiply

More Steps

Multiply the terms

d \times d^{6} \times 869

Multiply the terms with the same base by adding their exponents

d^{1 + 6} \times 869

Add the numbers

d^{7} \times 869

Use the commutative property to reorder the terms

869 d^{7}

869 d^{7} - 355 = 0

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

869 d^{7} = 0 + 355

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

869 d^{7} = 355

Divide both sides

\frac{869 d ^{7}}{869} = \frac{355}{869}

Divide the numbers

d^{7} = \frac{355}{869}

Take the 7 -th root on both sides of the equation

7 d^{7} = 7 \frac{355}{869}

Calculate

d = 7 \frac{355}{869}

Solution

More Steps

Evaluate

7 \frac{355}{869}

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

\frac{7 355}{7 869}

Multiply by the Conjugate

\frac{7 355 \times 7 86 9 ^{6}}{7 869 \times 7 86 9 ^{6}}

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

\frac{7 355 \times 86 9 ^{6}}{7 869 \times 7 86 9 ^{6}}

Multiply the numbers

More Steps

Evaluate

7869 \times 7 86 9^{6}

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

7 869 \times 86 9^{6}

Calculate the product

7 86 9^{7}

Reduce the index of the radical and exponent with 7

869

\frac{7 355 \times 86 9 ^{6}}{869}

d = \frac{7 355 \times 86 9 ^{6}}{869}

Alternative Form

d \approx 0.879951

Show Solution