Solve K^5048-4 - ScanMath

Question

Simplify the expression

48 K^{5} - 4

Evaluate

K^{5} \times 48 - 4

Solution

48 K^{5} - 4

Show Solution

4 (12 K^{5} - 1)

Evaluate

K^{5} \times 48 - 4

Use the commutative property to reorder the terms

48 K^{5} - 4

Solution

4 (12 K^{5} - 1)

Show Solution

K = \frac{5 648}{6}

Alternative Form

K \approx 0.608364

Evaluate

K^{5} \times 48 - 4

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

K^{5} \times 48 - 4 = 0

Use the commutative property to reorder the terms

48 K^{5} - 4 = 0

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

48 K^{5} = 0 + 4

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

48 K^{5} = 4

Divide both sides

\frac{48 K ^{5}}{48} = \frac{4}{48}

Divide the numbers

K^{5} = \frac{4}{48}

Cancel out the common factor 4

K^{5} = \frac{1}{12}

Take the 5 -th root on both sides of the equation

5 K^{5} = 5 \frac{1}{12}

Calculate

K = 5 \frac{1}{12}

Solution

More Steps

Evaluate

5 \frac{1}{12}

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

\frac{5 1}{5 12}

Simplify the radical expression

\frac{1}{5 12}

Multiply by the Conjugate

\frac{5 1 2 ^{4}}{5 12 \times 5 1 2 ^{4}}

Simplify

\frac{2 5 648}{5 12 \times 5 1 2 ^{4}}

Multiply the numbers

More Steps

Evaluate

512 \times 5 1 2^{4}

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

5 12 \times 1 2^{4}

Calculate the product

5 1 2^{5}

Reduce the index of the radical and exponent with 5

12

\frac{2 5 648}{12}

Cancel out the common factor 2

\frac{5 648}{6}

K = \frac{5 648}{6}

Alternative Form

K \approx 0.608364

Show Solution