Solve 10h 7h 76h-8h

Question

Simplify the expression

5320 h^{3} - 8 h

Evaluate

10 h \times 7 h \times 76 h - 8 h

Rewrite the expression in exponential form

10 h^{3} \times 7 \times 76 - 8 h

Solution

More Steps

Multiply the terms

10 h^{3} \times 7 \times 76

Multiply the terms

More Steps

Evaluate

10 \times 7 \times 76

Multiply the terms

70 \times 76

Multiply the numbers

5320

5320 h^{3}

5320 h^{3} - 8 h

Show Solution

Factor the expression

8 h (665 h^{2} - 1)

Evaluate

10 h \times 7 h \times 76 h - 8 h

Multiply

More Steps

Evaluate

10 h \times 7 h \times 76 h

Multiply the terms

More Steps

Evaluate

10 \times 7 \times 76

Multiply the terms

70 \times 76

Multiply the numbers

5320

5320 h \times h \times h

Multiply the terms with the same base by adding their exponents

5320 h^{1 + 1 + 1}

Add the numbers

5320 h^{3}

5320 h^{3} - 8 h

Rewrite the expression

8 h \times 665 h^{2} - 8 h

Solution

8 h (665 h^{2} - 1)

Show Solution

Find the roots

h_{1} = - \frac{665}{665}, h_{2} = 0, h_{3} = \frac{665}{665}

Alternative Form

h_{1} \approx - 0.038778, h_{2} = 0, h_{3} \approx 0.038778

Evaluate

10 h \times 7 h \times 76 h - 8 h

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

10 h \times 7 h \times 76 h - 8 h = 0

Multiply

More Steps

Multiply the terms

10 h \times 7 h \times 76 h

Multiply the terms

More Steps

Evaluate

10 \times 7 \times 76

Multiply the terms

70 \times 76

Multiply the numbers

5320

5320 h \times h \times h

Multiply the terms with the same base by adding their exponents

5320 h^{1 + 1 + 1}

Add the numbers

5320 h^{3}

5320 h^{3} - 8 h = 0

Factor the expression

8 h (665 h^{2} - 1) = 0

Divide both sides

h (665 h^{2} - 1) = 0

Separate the equation into 2 possible cases

h = 0 665 h^{2} - 1 = 0

Solve the equation

More Steps

Evaluate

665 h^{2} - 1 = 0

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

665 h^{2} = 0 + 1

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

665 h^{2} = 1

Divide both sides

\frac{665 h ^{2}}{665} = \frac{1}{665}

Divide the numbers

h^{2} = \frac{1}{665}

Take the root of both sides of the equation and remember to use both positive and negative roots

h = \pm \frac{1}{665}

Simplify the expression

More Steps

Evaluate

\frac{1}{665}

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

\frac{1}{665}

Simplify the radical expression

\frac{1}{665}

Multiply by the Conjugate

\frac{665}{665 \times 665}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{665}{665}

h = \pm \frac{665}{665}

Separate the equation into 2 possible cases

h = \frac{665}{665} h = - \frac{665}{665}

h = 0 h = \frac{665}{665} h = - \frac{665}{665}

Solution

h_{1} = - \frac{665}{665}, h_{2} = 0, h_{3} = \frac{665}{665}

Alternative Form

h_{1} \approx - 0.038778, h_{2} = 0, h_{3} \approx 0.038778

Show Solution