Solve dd^698-3 - ScanMath

Question

Simplify the expression

98 d^{7} - 3

Evaluate

d \times d^{6} \times 98 - 3

Solution

More Steps

Evaluate

d \times d^{6} \times 98

Multiply the terms with the same base by adding their exponents

d^{1 + 6} \times 98

Add the numbers

d^{7} \times 98

Use the commutative property to reorder the terms

98 d^{7}

98 d^{7} - 3

Show Solution

d = \frac{7 3 \times 9 8 ^{6}}{98}

Alternative Form

d \approx 0.607714

Evaluate

d \times d^{6} \times 98 - 3

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

d \times d^{6} \times 98 - 3 = 0

Multiply

More Steps

Multiply the terms

d \times d^{6} \times 98

Multiply the terms with the same base by adding their exponents

d^{1 + 6} \times 98

Add the numbers

d^{7} \times 98

Use the commutative property to reorder the terms

98 d^{7}

98 d^{7} - 3 = 0

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

98 d^{7} = 0 + 3

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

98 d^{7} = 3

Divide both sides

\frac{98 d ^{7}}{98} = \frac{3}{98}

Divide the numbers

d^{7} = \frac{3}{98}

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

7 d^{7} = 7 \frac{3}{98}

Calculate

d = 7 \frac{3}{98}

Solution

More Steps

Evaluate

7 \frac{3}{98}

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

\frac{7 3}{7 98}

Multiply by the Conjugate

\frac{7 3 \times 7 9 8 ^{6}}{7 98 \times 7 9 8 ^{6}}

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

\frac{7 3 \times 9 8 ^{6}}{7 98 \times 7 9 8 ^{6}}

Multiply the numbers

More Steps

Evaluate

798 \times 7 9 8^{6}

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

7 98 \times 9 8^{6}

Calculate the product

7 9 8^{7}

Reduce the index of the radical and exponent with 7

98

\frac{7 3 \times 9 8 ^{6}}{98}

d = \frac{7 3 \times 9 8 ^{6}}{98}

Alternative Form

d \approx 0.607714

Show Solution