Solve t^56-1e - ScanMath

Question

Simplify the expression

Solution

6 t^{5} - e

Evaluate

t^{5} \times 6 - 1 \times e

Use the commutative property to reorder the terms

6 t^{5} - 1 \times e

Solution

6 t^{5} - e

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Find the roots of the algebra expression

t = \frac{5 1296 e}{6}

Alternative Form

t \approx 0.853549

Evaluate

t^{5} \times 6 - 1 \times e

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

t^{5} \times 6 - 1 \times e = 0

Use the commutative property to reorder the terms

6 t^{5} - 1 \times e = 0

Multiply the numbers

6 t^{5} - e = 0

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

6 t^{5} = 0 + e

Add the terms

6 t^{5} = e

Divide both sides

\frac{6 t ^{5}}{6} = \frac{e}{6}

Divide the numbers

t^{5} = \frac{e}{6}

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

5 t^{5} = 5 \frac{e}{6}

Calculate

t = 5 \frac{e}{6}

Solution

More Steps

Evaluate

5 \frac{e}{6}

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

\frac{5 e}{5 6}

Multiply by the Conjugate

\frac{5 e \times 5 6 ^{4}}{5 6 \times 5 6 ^{4}}

Simplify

\frac{5 e \times 5 1296}{5 6 \times 5 6 ^{4}}

Multiply the numbers

More Steps

Evaluate

5 e \times 51296

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

5 e \times 1296

Calculate the product

5 1296 e

\frac{5 1296 e}{5 6 \times 5 6 ^{4}}

Multiply the numbers

More Steps

Evaluate

56 \times 5 6^{4}

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

5 6 \times 6^{4}

Calculate the product

5 6^{5}

Reduce the index of the radical and exponent with 5

6

\frac{5 1296 e}{6}

t = \frac{5 1296 e}{6}

Alternative Form

t \approx 0.853549

Show Solution