Solve 7a^5-4-1 - ScanMath

Question

Simplify the expression

7 a^{5} - 5

Evaluate

7 a^{5} - 4 - 1

Solution

7 a^{5} - 5

Show Solution

a = \frac{5 12005}{7}

Alternative Form

a \approx 0.93492

Evaluate

7 a^{5} - 4 - 1

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

7 a^{5} - 4 - 1 = 0

Subtract the numbers

7 a^{5} - 5 = 0

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

7 a^{5} = 0 + 5

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

7 a^{5} = 5

Divide both sides

\frac{7 a ^{5}}{7} = \frac{5}{7}

Divide the numbers

a^{5} = \frac{5}{7}

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

5 a^{5} = 5 \frac{5}{7}

Calculate

a = 5 \frac{5}{7}

Solution

More Steps

Evaluate

5 \frac{5}{7}

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

\frac{5 5}{5 7}

Multiply by the Conjugate

\frac{5 5 \times 5 7 ^{4}}{5 7 \times 5 7 ^{4}}

Simplify

\frac{5 5 \times 5 2401}{5 7 \times 5 7 ^{4}}

Multiply the numbers

More Steps

Evaluate

55 \times 52401

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

5 5 \times 2401

Calculate the product

512005

\frac{5 12005}{5 7 \times 5 7 ^{4}}

Multiply the numbers

More Steps

Evaluate

57 \times 5 7^{4}

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

5 7 \times 7^{4}

Calculate the product

5 7^{5}

Reduce the index of the radical and exponent with 5

7

\frac{5 12005}{7}

a = \frac{5 12005}{7}

Alternative Form

a \approx 0.93492

Show Solution