Solve 1g^530-73 - ScanMath

Question

Simplify the expression

30 g^{5} - 73

Evaluate

1 \times g^{5} \times 30 - 73

Solution

More Steps

Evaluate

1 \times g^{5} \times 30

Rewrite the expression

g^{5} \times 30

Use the commutative property to reorder the terms

30 g^{5}

30 g^{5} - 73

Show Solution

g = \frac{5 73 \times 3 0 ^{4}}{30}

Alternative Form

g \approx 1.194649

Evaluate

1 \times g^{5} \times 30 - 73

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

1 \times g^{5} \times 30 - 73 = 0

Multiply the terms

More Steps

Multiply the terms

1 \times g^{5} \times 30

Rewrite the expression

g^{5} \times 30

Use the commutative property to reorder the terms

30 g^{5}

30 g^{5} - 73 = 0

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

30 g^{5} = 0 + 73

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

30 g^{5} = 73

Divide both sides

\frac{30 g ^{5}}{30} = \frac{73}{30}

Divide the numbers

g^{5} = \frac{73}{30}

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

5 g^{5} = 5 \frac{73}{30}

Calculate

g = 5 \frac{73}{30}

Solution

More Steps

Evaluate

5 \frac{73}{30}

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

\frac{5 73}{5 30}

Multiply by the Conjugate

\frac{5 73 \times 5 3 0 ^{4}}{5 30 \times 5 3 0 ^{4}}

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

\frac{5 73 \times 3 0 ^{4}}{5 30 \times 5 3 0 ^{4}}

Multiply the numbers

More Steps

Evaluate

530 \times 5 3 0^{4}

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

5 30 \times 3 0^{4}

Calculate the product

5 3 0^{5}

Reduce the index of the radical and exponent with 5

30

\frac{5 73 \times 3 0 ^{4}}{30}

g = \frac{5 73 \times 3 0 ^{4}}{30}

Alternative Form

g \approx 1.194649

Show Solution