Solve dd^6958-108

Question

Simplify the expression

958 d^{7} - 108

Evaluate

d \times d^{6} \times 958 - 108

Solution

More Steps

Evaluate

d \times d^{6} \times 958

Multiply the terms with the same base by adding their exponents

d^{1 + 6} \times 958

Add the numbers

d^{7} \times 958

Use the commutative property to reorder the terms

958 d^{7}

958 d^{7} - 108

Show Solution

2 (479 d^{7} - 54)

Evaluate

d \times d^{6} \times 958 - 108

Multiply

More Steps

Evaluate

d \times d^{6} \times 958

Multiply the terms with the same base by adding their exponents

d^{1 + 6} \times 958

Add the numbers

d^{7} \times 958

Use the commutative property to reorder the terms

958 d^{7}

958 d^{7} - 108

Solution

2 (479 d^{7} - 54)

Show Solution

d = \frac{7 54 \times 47 9 ^{6}}{479}

Alternative Form

d \approx 0.732116

Evaluate

d \times d^{6} \times 958 - 108

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

d \times d^{6} \times 958 - 108 = 0

Multiply

More Steps

Multiply the terms

d \times d^{6} \times 958

Multiply the terms with the same base by adding their exponents

d^{1 + 6} \times 958

Add the numbers

d^{7} \times 958

Use the commutative property to reorder the terms

958 d^{7}

958 d^{7} - 108 = 0

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

958 d^{7} = 0 + 108

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

958 d^{7} = 108

Divide both sides

\frac{958 d ^{7}}{958} = \frac{108}{958}

Divide the numbers

d^{7} = \frac{108}{958}

Cancel out the common factor 2

d^{7} = \frac{54}{479}

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

7 d^{7} = 7 \frac{54}{479}

Calculate

d = 7 \frac{54}{479}

Solution

More Steps

Evaluate

7 \frac{54}{479}

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

\frac{7 54}{7 479}

Multiply by the Conjugate

\frac{7 54 \times 7 47 9 ^{6}}{7 479 \times 7 47 9 ^{6}}

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

\frac{7 54 \times 47 9 ^{6}}{7 479 \times 7 47 9 ^{6}}

Multiply the numbers

More Steps

Evaluate

7479 \times 7 47 9^{6}

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

7 479 \times 47 9^{6}

Calculate the product

7 47 9^{7}

Reduce the index of the radical and exponent with 7

479

\frac{7 54 \times 47 9 ^{6}}{479}

d = \frac{7 54 \times 47 9 ^{6}}{479}

Alternative Form

d \approx 0.732116

Show Solution