Solve 56-3a^553 - ScanMath

Question

Simplify the expression

56 - 159 a^{5}

Evaluate

56 - 3 a^{5} \times 53

Solution

56 - 159 a^{5}

Show Solution

a = \frac{5 56 \times 15 9 ^{4}}{159}

Alternative Form

a \approx 0.81163

Evaluate

56 - 3 a^{5} \times 53

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

56 - 3 a^{5} \times 53 = 0

Multiply the terms

56 - 159 a^{5} = 0

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

- 159 a^{5} = 0 - 56

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

- 159 a^{5} = - 56

Change the signs on both sides of the equation

159 a^{5} = 56

Divide both sides

\frac{159 a ^{5}}{159} = \frac{56}{159}

Divide the numbers

a^{5} = \frac{56}{159}

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

5 a^{5} = 5 \frac{56}{159}

Calculate

a = 5 \frac{56}{159}

Solution

More Steps

Evaluate

5 \frac{56}{159}

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

\frac{5 56}{5 159}

Multiply by the Conjugate

\frac{5 56 \times 5 15 9 ^{4}}{5 159 \times 5 15 9 ^{4}}

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

\frac{5 56 \times 15 9 ^{4}}{5 159 \times 5 15 9 ^{4}}

Multiply the numbers

More Steps

Evaluate

5159 \times 5 15 9^{4}

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

5 159 \times 15 9^{4}

Calculate the product

5 15 9^{5}

Reduce the index of the radical and exponent with 5

159

\frac{5 56 \times 15 9 ^{4}}{159}

a = \frac{5 56 \times 15 9 ^{4}}{159}

Alternative Form

a \approx 0.81163

Show Solution