Solve dd^6273-25 - ScanMath

Question

Simplify the expression

273 d^{7} - 25

Evaluate

d \times d^{6} \times 273 - 25

Solution

More Steps

Evaluate

d \times d^{6} \times 273

Multiply the terms with the same base by adding their exponents

d^{1 + 6} \times 273

Add the numbers

d^{7} \times 273

Use the commutative property to reorder the terms

273 d^{7}

273 d^{7} - 25

Show Solution

d = \frac{7 25 \times 27 3 ^{6}}{273}

Alternative Form

d \approx 0.710694

Evaluate

d \times d^{6} \times 273 - 25

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

d \times d^{6} \times 273 - 25 = 0

Multiply

More Steps

Multiply the terms

d \times d^{6} \times 273

Multiply the terms with the same base by adding their exponents

d^{1 + 6} \times 273

Add the numbers

d^{7} \times 273

Use the commutative property to reorder the terms

273 d^{7}

273 d^{7} - 25 = 0

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

273 d^{7} = 0 + 25

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

273 d^{7} = 25

Divide both sides

\frac{273 d ^{7}}{273} = \frac{25}{273}

Divide the numbers

d^{7} = \frac{25}{273}

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

7 d^{7} = 7 \frac{25}{273}

Calculate

d = 7 \frac{25}{273}

Solution

More Steps

Evaluate

7 \frac{25}{273}

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

\frac{7 25}{7 273}

Multiply by the Conjugate

\frac{7 25 \times 7 27 3 ^{6}}{7 273 \times 7 27 3 ^{6}}

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

\frac{7 25 \times 27 3 ^{6}}{7 273 \times 7 27 3 ^{6}}

Multiply the numbers

More Steps

Evaluate

7273 \times 7 27 3^{6}

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

7 273 \times 27 3^{6}

Calculate the product

7 27 3^{7}

Reduce the index of the radical and exponent with 7

273

\frac{7 25 \times 27 3 ^{6}}{273}

d = \frac{7 25 \times 27 3 ^{6}}{273}

Alternative Form

d \approx 0.710694

Show Solution