Solve 560b^619-4 - ScanMath

Question

Simplify the expression

10640 b^{6} - 4

Evaluate

560 b^{6} \times 19 - 4

Solution

10640 b^{6} - 4

Show Solution

4 (2660 b^{6} - 1)

Evaluate

560 b^{6} \times 19 - 4

Multiply the terms

10640 b^{6} - 4

Solution

4 (2660 b^{6} - 1)

Show Solution

b_{1} = - \frac{6 266 0 ^{5}}{2660}, b_{2} = \frac{6 266 0 ^{5}}{2660}

Alternative Form

b_{1} \approx - 0.26865, b_{2} \approx 0.26865

Evaluate

560 b^{6} \times 19 - 4

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

560 b^{6} \times 19 - 4 = 0

Multiply the terms

10640 b^{6} - 4 = 0

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

10640 b^{6} = 0 + 4

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

10640 b^{6} = 4

Divide both sides

\frac{10640 b ^{6}}{10640} = \frac{4}{10640}

Divide the numbers

b^{6} = \frac{4}{10640}

Cancel out the common factor 4

b^{6} = \frac{1}{2660}

Take the root of both sides of the equation and remember to use both positive and negative roots

b = \pm 6 \frac{1}{2660}

Simplify the expression

More Steps

Evaluate

6 \frac{1}{2660}

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

\frac{6 1}{6 2660}

Simplify the radical expression

\frac{1}{6 2660}

Multiply by the Conjugate

\frac{6 266 0 ^{5}}{6 2660 \times 6 266 0 ^{5}}

Multiply the numbers

More Steps

Evaluate

62660 \times 6 266 0^{5}

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

6 2660 \times 266 0^{5}

Calculate the product

6 266 0^{6}

Reduce the index of the radical and exponent with 6

2660

\frac{6 266 0 ^{5}}{2660}

b = \pm \frac{6 266 0 ^{5}}{2660}

Separate the equation into 2 possible cases

b = \frac{6 266 0 ^{5}}{2660} b = - \frac{6 266 0 ^{5}}{2660}

Solution

b_{1} = - \frac{6 266 0 ^{5}}{2660}, b_{2} = \frac{6 266 0 ^{5}}{2660}

Alternative Form

b_{1} \approx - 0.26865, b_{2} \approx 0.26865

Show Solution