Solve 5-m^4*13 - ScanMath

Question

Simplify the expression

5 - 13 m^{4}

Evaluate

5 - m^{4} \times 13

Solution

5 - 13 m^{4}

Show Solution

m_{1} = - \frac{4 10985}{13}, m_{2} = \frac{4 10985}{13}

Alternative Form

m_{1} \approx - 0.787511, m_{2} \approx 0.787511

Evaluate

5 - m^{4} \times 13

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

5 - m^{4} \times 13 = 0

Use the commutative property to reorder the terms

5 - 13 m^{4} = 0

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

- 13 m^{4} = 0 - 5

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

- 13 m^{4} = - 5

Change the signs on both sides of the equation

13 m^{4} = 5

Divide both sides

\frac{13 m ^{4}}{13} = \frac{5}{13}

Divide the numbers

m^{4} = \frac{5}{13}

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

m = \pm 4 \frac{5}{13}

Simplify the expression

More Steps

Evaluate

4 \frac{5}{13}

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

\frac{4 5}{4 13}

Multiply by the Conjugate

\frac{4 5 \times 4 1 3 ^{3}}{4 13 \times 4 1 3 ^{3}}

Simplify

\frac{4 5 \times 4 2197}{4 13 \times 4 1 3 ^{3}}

Multiply the numbers

More Steps

Evaluate

45 \times 42197

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

4 5 \times 2197

Calculate the product

410985

\frac{4 10985}{4 13 \times 4 1 3 ^{3}}

Multiply the numbers

More Steps

Evaluate

413 \times 4 1 3^{3}

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

4 13 \times 1 3^{3}

Calculate the product

4 1 3^{4}

Reduce the index of the radical and exponent with 4

13

\frac{4 10985}{13}

m = \pm \frac{4 10985}{13}

Separate the equation into 2 possible cases

m = \frac{4 10985}{13} m = - \frac{4 10985}{13}

Solution

m_{1} = - \frac{4 10985}{13}, m_{2} = \frac{4 10985}{13}

Alternative Form

m_{1} \approx - 0.787511, m_{2} \approx 0.787511

Show Solution