Solve b^680-2-0 - ScanMath

Question

Simplify the expression

80 b^{6} - 2

Evaluate

b^{6} \times 80 - 2 - 0

Use the commutative property to reorder the terms

80 b^{6} - 2 - 0

Solution

80 b^{6} - 2

Show Solution

2 (40 b^{6} - 1)

Evaluate

b^{6} \times 80 - 2 - 0

Use the commutative property to reorder the terms

80 b^{6} - 2 - 0

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

80 b^{6} - 2

Solution

2 (40 b^{6} - 1)

Show Solution

b_{1} = - \frac{6 4 0 ^{5}}{40}, b_{2} = \frac{6 4 0 ^{5}}{40}

Alternative Form

b_{1} \approx - 0.540742, b_{2} \approx 0.540742

Evaluate

b^{6} \times 80 - 2 - 0

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

b^{6} \times 80 - 2 - 0 = 0

Use the commutative property to reorder the terms

80 b^{6} - 2 - 0 = 0

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

80 b^{6} - 2 = 0

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

80 b^{6} = 0 + 2

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

80 b^{6} = 2

Divide both sides

\frac{80 b ^{6}}{80} = \frac{2}{80}

Divide the numbers

b^{6} = \frac{2}{80}

Cancel out the common factor 2

b^{6} = \frac{1}{40}

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

b = \pm 6 \frac{1}{40}

Simplify the expression

More Steps

Evaluate

6 \frac{1}{40}

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

\frac{6 1}{6 40}

Simplify the radical expression

\frac{1}{6 40}

Multiply by the Conjugate

\frac{6 4 0 ^{5}}{6 40 \times 6 4 0 ^{5}}

Multiply the numbers

More Steps

Evaluate

640 \times 6 4 0^{5}

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

6 40 \times 4 0^{5}

Calculate the product

6 4 0^{6}

Reduce the index of the radical and exponent with 6

40

\frac{6 4 0 ^{5}}{40}

b = \pm \frac{6 4 0 ^{5}}{40}

Separate the equation into 2 possible cases

b = \frac{6 4 0 ^{5}}{40} b = - \frac{6 4 0 ^{5}}{40}

Solution

b_{1} = - \frac{6 4 0 ^{5}}{40}, b_{2} = \frac{6 4 0 ^{5}}{40}

Alternative Form

b_{1} \approx - 0.540742, b_{2} \approx 0.540742

Show Solution