Solve b^43020-1 - ScanMath

Question

Simplify the expression

3020 b^{4} - 1

Evaluate

b^{4} \times 3020 - 1

Solution

3020 b^{4} - 1

Show Solution

b_{1} = - \frac{4 302 0 ^{3}}{3020}, b_{2} = \frac{4 302 0 ^{3}}{3020}

Alternative Form

b_{1} \approx - 0.134896, b_{2} \approx 0.134896

Evaluate

b^{4} \times 3020 - 1

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

b^{4} \times 3020 - 1 = 0

Use the commutative property to reorder the terms

3020 b^{4} - 1 = 0

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

3020 b^{4} = 0 + 1

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

3020 b^{4} = 1

Divide both sides

\frac{3020 b ^{4}}{3020} = \frac{1}{3020}

Divide the numbers

b^{4} = \frac{1}{3020}

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

b = \pm 4 \frac{1}{3020}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{3020}

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

\frac{4 1}{4 3020}

Simplify the radical expression

\frac{1}{4 3020}

Multiply by the Conjugate

\frac{4 302 0 ^{3}}{4 3020 \times 4 302 0 ^{3}}

Multiply the numbers

More Steps

Evaluate

43020 \times 4 302 0^{3}

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

4 3020 \times 302 0^{3}

Calculate the product

4 302 0^{4}

Reduce the index of the radical and exponent with 4

3020

\frac{4 302 0 ^{3}}{3020}

b = \pm \frac{4 302 0 ^{3}}{3020}

Separate the equation into 2 possible cases

b = \frac{4 302 0 ^{3}}{3020} b = - \frac{4 302 0 ^{3}}{3020}

Solution

b_{1} = - \frac{4 302 0 ^{3}}{3020}, b_{2} = \frac{4 302 0 ^{3}}{3020}

Alternative Form

b_{1} \approx - 0.134896, b_{2} \approx 0.134896

Show Solution