Solve l^432-1 - ScanMath

Question

Simplify the expression

32 l^{4} - 1

Evaluate

l^{4} \times 32 - 1

Solution

32 l^{4} - 1

Show Solution

l_{1} = - \frac{4 8}{4}, l_{2} = \frac{4 8}{4}

Alternative Form

l_{1} \approx - 0.420448, l_{2} \approx 0.420448

Evaluate

l^{4} \times 32 - 1

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

l^{4} \times 32 - 1 = 0

Use the commutative property to reorder the terms

32 l^{4} - 1 = 0

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

32 l^{4} = 0 + 1

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

32 l^{4} = 1

Divide both sides

\frac{32 l ^{4}}{32} = \frac{1}{32}

Divide the numbers

l^{4} = \frac{1}{32}

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

l = \pm 4 \frac{1}{32}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{32}

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

\frac{4 1}{4 32}

Simplify the radical expression

\frac{1}{4 32}

Simplify the radical expression

More Steps

Evaluate

432

Write the expression as a product where the root of one of the factors can be evaluated

4 16 \times 2

Write the number in exponential form with the base of 2

4 2^{4} \times 2

The root of a product is equal to the product of the roots of each factor

4 2^{4} \times 42

Reduce the index of the radical and exponent with 4

242

\frac{1}{2 4 2}

Multiply by the Conjugate

\frac{4 2 ^{3}}{2 4 2 \times 4 2 ^{3}}

Simplify

\frac{4 8}{2 4 2 \times 4 2 ^{3}}

Multiply the numbers

More Steps

Evaluate

242 \times 4 2^{3}

Multiply the terms

2 \times 2

Multiply the numbers

4

\frac{4 8}{4}

l = \pm \frac{4 8}{4}

Separate the equation into 2 possible cases

l = \frac{4 8}{4} l = - \frac{4 8}{4}

Solution

l_{1} = - \frac{4 8}{4}, l_{2} = \frac{4 8}{4}

Alternative Form

l_{1} \approx - 0.420448, l_{2} \approx 0.420448

Show Solution