Solve dd^6203-1 - ScanMath

Question

Simplify the expression

203 d^{7} - 1

Evaluate

d \times d^{6} \times 203 - 1

Solution

More Steps

Evaluate

d \times d^{6} \times 203

Multiply the terms with the same base by adding their exponents

d^{1 + 6} \times 203

Add the numbers

d^{7} \times 203

Use the commutative property to reorder the terms

203 d^{7}

203 d^{7} - 1

Show Solution

d = \frac{7 20 3 ^{6}}{203}

Alternative Form

d \approx 0.468121

Evaluate

d \times d^{6} \times 203 - 1

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

d \times d^{6} \times 203 - 1 = 0

Multiply

More Steps

Multiply the terms

d \times d^{6} \times 203

Multiply the terms with the same base by adding their exponents

d^{1 + 6} \times 203

Add the numbers

d^{7} \times 203

Use the commutative property to reorder the terms

203 d^{7}

203 d^{7} - 1 = 0

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

203 d^{7} = 0 + 1

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

203 d^{7} = 1

Divide both sides

\frac{203 d ^{7}}{203} = \frac{1}{203}

Divide the numbers

d^{7} = \frac{1}{203}

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

7 d^{7} = 7 \frac{1}{203}

Calculate

d = 7 \frac{1}{203}

Solution

More Steps

Evaluate

7 \frac{1}{203}

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

\frac{7 1}{7 203}

Simplify the radical expression

\frac{1}{7 203}

Multiply by the Conjugate

\frac{7 20 3 ^{6}}{7 203 \times 7 20 3 ^{6}}

Multiply the numbers

More Steps

Evaluate

7203 \times 7 20 3^{6}

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

7 203 \times 20 3^{6}

Calculate the product

7 20 3^{7}

Reduce the index of the radical and exponent with 7

203

\frac{7 20 3 ^{6}}{203}

d = \frac{7 20 3 ^{6}}{203}

Alternative Form

d \approx 0.468121

Show Solution