Solve j^56225845/1-30

Question

Simplify the expression

6225845 j^{5} - 30

Evaluate

j^{5} \times \frac{6225845}{1} - 30

Divide the terms

j^{5} \times 6225845 - 30

Solution

6225845 j^{5} - 30

Show Solution

5 (1245169 j^{5} - 6)

Evaluate

j^{5} \times \frac{6225845}{1} - 30

Divide the terms

j^{5} \times 6225845 - 30

Use the commutative property to reorder the terms

6225845 j^{5} - 30

Solution

5 (1245169 j^{5} - 6)

Show Solution

j = \frac{5 6 \times 124516 9 ^{4}}{1245169}

Alternative Form

j \approx 0.086414

Evaluate

j^{5} \times \frac{6225845}{1} - 30

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

j^{5} \times \frac{6225845}{1} - 30 = 0

Divide the terms

j^{5} \times 6225845 - 30 = 0

Use the commutative property to reorder the terms

6225845 j^{5} - 30 = 0

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

6225845 j^{5} = 0 + 30

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

6225845 j^{5} = 30

Divide both sides

\frac{6225845 j ^{5}}{6225845} = \frac{30}{6225845}

Divide the numbers

j^{5} = \frac{30}{6225845}

Cancel out the common factor 5

j^{5} = \frac{6}{1245169}

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

5 j^{5} = 5 \frac{6}{1245169}

Calculate

j = 5 \frac{6}{1245169}

Solution

More Steps

Evaluate

5 \frac{6}{1245169}

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

\frac{5 6}{5 1245169}

Multiply by the Conjugate

\frac{5 6 \times 5 124516 9 ^{4}}{5 1245169 \times 5 124516 9 ^{4}}

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

\frac{5 6 \times 124516 9 ^{4}}{5 1245169 \times 5 124516 9 ^{4}}

Multiply the numbers

More Steps

Evaluate

51245169 \times 5 124516 9^{4}

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

5 1245169 \times 124516 9^{4}

Calculate the product

5 124516 9^{5}

Reduce the index of the radical and exponent with 5

1245169

\frac{5 6 \times 124516 9 ^{4}}{1245169}

j = \frac{5 6 \times 124516 9 ^{4}}{1245169}

Alternative Form

j \approx 0.086414

Show Solution