Solve 60-24 b^52 - ScanMath

Question

Simplify the expression

60 - 48 b^{5}

Evaluate

60 - 24 b^{5} \times 2

Solution

60 - 48 b^{5}

Show Solution

12 (5 - 4 b^{5})

Evaluate

60 - 24 b^{5} \times 2

Multiply the terms

60 - 48 b^{5}

Solution

12 (5 - 4 b^{5})

Show Solution

b = \frac{5 40}{2}

Alternative Form

b \approx 1.04564

Evaluate

60 - 24 b^{5} \times 2

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

60 - 24 b^{5} \times 2 = 0

Multiply the terms

60 - 48 b^{5} = 0

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

- 48 b^{5} = 0 - 60

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

- 48 b^{5} = - 60

Change the signs on both sides of the equation

48 b^{5} = 60

Divide both sides

\frac{48 b ^{5}}{48} = \frac{60}{48}

Divide the numbers

b^{5} = \frac{60}{48}

Cancel out the common factor 12

b^{5} = \frac{5}{4}

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

5 b^{5} = 5 \frac{5}{4}

Calculate

b = 5 \frac{5}{4}

Solution

More Steps

Evaluate

5 \frac{5}{4}

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

\frac{5 5}{5 4}

Multiply by the Conjugate

\frac{5 5 \times 5 4 ^{4}}{5 4 \times 5 4 ^{4}}

Simplify

\frac{5 5 \times 2 5 8}{5 4 \times 5 4 ^{4}}

Multiply the numbers

More Steps

Evaluate

55 \times 258

Multiply the terms

540 \times 2

Use the commutative property to reorder the terms

2540

\frac{2 5 40}{5 4 \times 5 4 ^{4}}

Multiply the numbers

More Steps

Evaluate

54 \times 5 4^{4}

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

5 4 \times 4^{4}

Calculate the product

5 4^{5}

Transform the expression

5 2^{10}

Reduce the index of the radical and exponent with 5

2^{2}

\frac{2 5 40}{2 ^{2}}

Reduce the fraction

More Steps

Evaluate

\frac{2}{2 ^{2}}

Use the product rule \frac{a ^{n}}{a ^{m}} = a^{n - m} to simplify the expression

\frac{1}{2 ^{2 - 1}}

Subtract the terms

\frac{1}{2 ^{1}}

Simplify

\frac{1}{2}

\frac{5 40}{2}

b = \frac{5 40}{2}

Alternative Form

b \approx 1.04564

Show Solution