Solve j^32025-1 - ScanMath

Question

Simplify the expression

2025 j^{3} - 1

Evaluate

j^{3} \times 2025 - 1

Solution

2025 j^{3} - 1

Show Solution

j = \frac{3 45}{45}

Alternative Form

j \approx 0.079042

Evaluate

j^{3} \times 2025 - 1

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

j^{3} \times 2025 - 1 = 0

Use the commutative property to reorder the terms

2025 j^{3} - 1 = 0

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

2025 j^{3} = 0 + 1

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

2025 j^{3} = 1

Divide both sides

\frac{2025 j ^{3}}{2025} = \frac{1}{2025}

Divide the numbers

j^{3} = \frac{1}{2025}

Take the 3 -th root on both sides of the equation

3 j^{3} = 3 \frac{1}{2025}

Calculate

j = 3 \frac{1}{2025}

Solution

More Steps

Evaluate

3 \frac{1}{2025}

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

\frac{3 1}{3 2025}

Simplify the radical expression

\frac{1}{3 2025}

Simplify the radical expression

More Steps

Evaluate

32025

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

3 27 \times 75

Write the number in exponential form with the base of 3

3 3^{3} \times 75

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

3 3^{3} \times 375

Reduce the index of the radical and exponent with 3

3375

\frac{1}{3 3 75}

Multiply by the Conjugate

\frac{3 7 5 ^{2}}{3 3 75 \times 3 7 5 ^{2}}

Simplify

\frac{5 3 45}{3 3 75 \times 3 7 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

3375 \times 3 7 5^{2}

Multiply the terms

3 \times 75

Multiply the terms

225

\frac{5 3 45}{225}

Cancel out the common factor 5

\frac{3 45}{45}

j = \frac{3 45}{45}

Alternative Form

j \approx 0.079042

Show Solution