Solve dd^5880-10 - ScanMath

Question

Simplify the expression

880 d^{6} - 10

Evaluate

d \times d^{5} \times 880 - 10

Solution

More Steps

Evaluate

d \times d^{5} \times 880

Multiply the terms with the same base by adding their exponents

d^{1 + 5} \times 880

Add the numbers

d^{6} \times 880

Use the commutative property to reorder the terms

880 d^{6}

880 d^{6} - 10

Show Solution

Factor the expression

10 (88 d^{6} - 1)

Evaluate

d \times d^{5} \times 880 - 10

Multiply

More Steps

Evaluate

d \times d^{5} \times 880

Multiply the terms with the same base by adding their exponents

d^{1 + 5} \times 880

Add the numbers

d^{6} \times 880

Use the commutative property to reorder the terms

880 d^{6}

880 d^{6} - 10

Solution

10 (88 d^{6} - 1)

Show Solution

Find the roots

d_{1} = - \frac{6 8 8 ^{5}}{88}, d_{2} = \frac{6 8 8 ^{5}}{88}

Alternative Form

d_{1} \approx - 0.474154, d_{2} \approx 0.474154

Evaluate

d \times d^{5} \times 880 - 10

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

d \times d^{5} \times 880 - 10 = 0

Multiply

More Steps

Multiply the terms

d \times d^{5} \times 880

Multiply the terms with the same base by adding their exponents

d^{1 + 5} \times 880

Add the numbers

d^{6} \times 880

Use the commutative property to reorder the terms

880 d^{6}

880 d^{6} - 10 = 0

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

880 d^{6} = 0 + 10

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

880 d^{6} = 10

Divide both sides

\frac{880 d ^{6}}{880} = \frac{10}{880}

Divide the numbers

d^{6} = \frac{10}{880}

Cancel out the common factor 10

d^{6} = \frac{1}{88}

Take the root of both sides of the equation and remember to use both positive and negative roots

d = \pm 6 \frac{1}{88}

Simplify the expression

More Steps

Evaluate

6 \frac{1}{88}

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

\frac{6 1}{6 88}

Simplify the radical expression

\frac{1}{6 88}

Multiply by the Conjugate

\frac{6 8 8 ^{5}}{6 88 \times 6 8 8 ^{5}}

Multiply the numbers

More Steps

Evaluate

688 \times 6 8 8^{5}

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

6 88 \times 8 8^{5}

Calculate the product

6 8 8^{6}

Reduce the index of the radical and exponent with 6

88

\frac{6 8 8 ^{5}}{88}

d = \pm \frac{6 8 8 ^{5}}{88}

Separate the equation into 2 possible cases

d = \frac{6 8 8 ^{5}}{88} d = - \frac{6 8 8 ^{5}}{88}

Solution

d_{1} = - \frac{6 8 8 ^{5}}{88}, d_{2} = \frac{6 8 8 ^{5}}{88}

Alternative Form

d_{1} \approx - 0.474154, d_{2} \approx 0.474154

Show Solution