Solve dd^4887-7 - ScanMath

Question

Simplify the expression

887 d^{5} - 7

Evaluate

d \times d^{4} \times 887 - 7

Solution

More Steps

Evaluate

d \times d^{4} \times 887

Multiply the terms with the same base by adding their exponents

d^{1 + 4} \times 887

Add the numbers

d^{5} \times 887

Use the commutative property to reorder the terms

887 d^{5}

887 d^{5} - 7

Show Solution

d = \frac{5 7 \times 88 7 ^{4}}{887}

Alternative Form

d \approx 0.379695

Evaluate

d \times d^{4} \times 887 - 7

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

d \times d^{4} \times 887 - 7 = 0

Multiply

More Steps

Multiply the terms

d \times d^{4} \times 887

Multiply the terms with the same base by adding their exponents

d^{1 + 4} \times 887

Add the numbers

d^{5} \times 887

Use the commutative property to reorder the terms

887 d^{5}

887 d^{5} - 7 = 0

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

887 d^{5} = 0 + 7

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

887 d^{5} = 7

Divide both sides

\frac{887 d ^{5}}{887} = \frac{7}{887}

Divide the numbers

d^{5} = \frac{7}{887}

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

5 d^{5} = 5 \frac{7}{887}

Calculate

d = 5 \frac{7}{887}

Solution

More Steps

Evaluate

5 \frac{7}{887}

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

\frac{5 7}{5 887}

Multiply by the Conjugate

\frac{5 7 \times 5 88 7 ^{4}}{5 887 \times 5 88 7 ^{4}}

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

\frac{5 7 \times 88 7 ^{4}}{5 887 \times 5 88 7 ^{4}}

Multiply the numbers

More Steps

Evaluate

5887 \times 5 88 7^{4}

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

5 887 \times 88 7^{4}

Calculate the product

5 88 7^{5}

Reduce the index of the radical and exponent with 5

887

\frac{5 7 \times 88 7 ^{4}}{887}

d = \frac{5 7 \times 88 7 ^{4}}{887}

Alternative Form

d \approx 0.379695

Show Solution