Solve b^650e-e - ScanMath

Question

Simplify the expression

50 e b^{6} - e

Evaluate

b^{6} \times 50 e - e

Solution

More Steps

Evaluate

b^{6} \times 50 e

Use the commutative property to reorder the terms

50 b^{6} e

Multiply the numbers

50 e b^{6}

50 e b^{6} - e

Show Solution

e (50 b^{6} - 1)

Evaluate

b^{6} \times 50 e - e

Multiply the terms

More Steps

Evaluate

b^{6} \times 50 e

Use the commutative property to reorder the terms

50 b^{6} e

Multiply the numbers

50 e b^{6}

50 e b^{6} - e

Solution

e (50 b^{6} - 1)

Show Solution

b_{1} = - \frac{6 5 0 ^{5}}{50}, b_{2} = \frac{6 5 0 ^{5}}{50}

Alternative Form

b_{1} \approx - 0.521001, b_{2} \approx 0.521001

Evaluate

b^{6} \times 50 e - e

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

b^{6} \times 50 e - e = 0

Multiply the terms

More Steps

Multiply the terms

b^{6} \times 50 e

Use the commutative property to reorder the terms

50 b^{6} e

Multiply the numbers

50 e b^{6}

50 e b^{6} - e = 0

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

50 e b^{6} = 0 + e

Add the terms

50 e b^{6} = e

Divide both sides

\frac{50 e b ^{6}}{50 e} = \frac{e}{50 e}

Divide the numbers

b^{6} = \frac{e}{50 e}

Divide the numbers

b^{6} = \frac{1}{50}

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

b = \pm 6 \frac{1}{50}

Simplify the expression

More Steps

Evaluate

6 \frac{1}{50}

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

\frac{6 1}{6 50}

Simplify the radical expression

\frac{1}{6 50}

Multiply by the Conjugate

\frac{6 5 0 ^{5}}{6 50 \times 6 5 0 ^{5}}

Multiply the numbers

More Steps

Evaluate

650 \times 6 5 0^{5}

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

6 50 \times 5 0^{5}

Calculate the product

6 5 0^{6}

Reduce the index of the radical and exponent with 6

50

\frac{6 5 0 ^{5}}{50}

b = \pm \frac{6 5 0 ^{5}}{50}

Separate the equation into 2 possible cases

b = \frac{6 5 0 ^{5}}{50} b = - \frac{6 5 0 ^{5}}{50}

Solution

b_{1} = - \frac{6 5 0 ^{5}}{50}, b_{2} = \frac{6 5 0 ^{5}}{50}

Alternative Form

b_{1} \approx - 0.521001, b_{2} \approx 0.521001

Show Solution