Solve dd^6795-10 - ScanMath

Question

Simplify the expression

795 d^{7} - 10

Evaluate

d \times d^{6} \times 795 - 10

Solution

More Steps

Evaluate

d \times d^{6} \times 795

Multiply the terms with the same base by adding their exponents

d^{1 + 6} \times 795

Add the numbers

d^{7} \times 795

Use the commutative property to reorder the terms

795 d^{7}

795 d^{7} - 10

Show Solution

5 (159 d^{7} - 2)

Evaluate

d \times d^{6} \times 795 - 10

Multiply

More Steps

Evaluate

d \times d^{6} \times 795

Multiply the terms with the same base by adding their exponents

d^{1 + 6} \times 795

Add the numbers

d^{7} \times 795

Use the commutative property to reorder the terms

795 d^{7}

795 d^{7} - 10

Solution

5 (159 d^{7} - 2)

Show Solution

d = \frac{7 2 \times 15 9 ^{6}}{159}

Alternative Form

d \approx 0.535204

Evaluate

d \times d^{6} \times 795 - 10

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

d \times d^{6} \times 795 - 10 = 0

Multiply

More Steps

Multiply the terms

d \times d^{6} \times 795

Multiply the terms with the same base by adding their exponents

d^{1 + 6} \times 795

Add the numbers

d^{7} \times 795

Use the commutative property to reorder the terms

795 d^{7}

795 d^{7} - 10 = 0

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

795 d^{7} = 0 + 10

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

795 d^{7} = 10

Divide both sides

\frac{795 d ^{7}}{795} = \frac{10}{795}

Divide the numbers

d^{7} = \frac{10}{795}

Cancel out the common factor 5

d^{7} = \frac{2}{159}

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

7 d^{7} = 7 \frac{2}{159}

Calculate

d = 7 \frac{2}{159}

Solution

More Steps

Evaluate

7 \frac{2}{159}

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

\frac{7 2}{7 159}

Multiply by the Conjugate

\frac{7 2 \times 7 15 9 ^{6}}{7 159 \times 7 15 9 ^{6}}

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

\frac{7 2 \times 15 9 ^{6}}{7 159 \times 7 15 9 ^{6}}

Multiply the numbers

More Steps

Evaluate

7159 \times 7 15 9^{6}

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

7 159 \times 15 9^{6}

Calculate the product

7 15 9^{7}

Reduce the index of the radical and exponent with 7

159

\frac{7 2 \times 15 9 ^{6}}{159}

d = \frac{7 2 \times 15 9 ^{6}}{159}

Alternative Form

d \approx 0.535204

Show Solution