Solve dd^4754 - 10

Question

Simplify the expression

754 d^{5} - 10

Evaluate

d \times d^{4} \times 754 - 10

Solution

More Steps

Evaluate

d \times d^{4} \times 754

Multiply the terms with the same base by adding their exponents

d^{1 + 4} \times 754

Add the numbers

d^{5} \times 754

Use the commutative property to reorder the terms

754 d^{5}

754 d^{5} - 10

Show Solution

2 (377 d^{5} - 5)

Evaluate

d \times d^{4} \times 754 - 10

Multiply

More Steps

Evaluate

d \times d^{4} \times 754

Multiply the terms with the same base by adding their exponents

d^{1 + 4} \times 754

Add the numbers

d^{5} \times 754

Use the commutative property to reorder the terms

754 d^{5}

754 d^{5} - 10

Solution

2 (377 d^{5} - 5)

Show Solution

d = \frac{5 5 \times 37 7 ^{4}}{377}

Alternative Form

d \approx 0.421236

Evaluate

d \times d^{4} \times 754 - 10

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

d \times d^{4} \times 754 - 10 = 0

Multiply

More Steps

Multiply the terms

d \times d^{4} \times 754

Multiply the terms with the same base by adding their exponents

d^{1 + 4} \times 754

Add the numbers

d^{5} \times 754

Use the commutative property to reorder the terms

754 d^{5}

754 d^{5} - 10 = 0

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

754 d^{5} = 0 + 10

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

754 d^{5} = 10

Divide both sides

\frac{754 d ^{5}}{754} = \frac{10}{754}

Divide the numbers

d^{5} = \frac{10}{754}

Cancel out the common factor 2

d^{5} = \frac{5}{377}

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

5 d^{5} = 5 \frac{5}{377}

Calculate

d = 5 \frac{5}{377}

Solution

More Steps

Evaluate

5 \frac{5}{377}

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

\frac{5 5}{5 377}

Multiply by the Conjugate

\frac{5 5 \times 5 37 7 ^{4}}{5 377 \times 5 37 7 ^{4}}

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

\frac{5 5 \times 37 7 ^{4}}{5 377 \times 5 37 7 ^{4}}

Multiply the numbers

More Steps

Evaluate

5377 \times 5 37 7^{4}

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

5 377 \times 37 7^{4}

Calculate the product

5 37 7^{5}

Reduce the index of the radical and exponent with 5

377

\frac{5 5 \times 37 7 ^{4}}{377}

d = \frac{5 5 \times 37 7 ^{4}}{377}

Alternative Form

d \approx 0.421236

Show Solution