Solve 66-7m^5m 10m 9

Question

Simplify the expression

66 - 630 m^{7}

Evaluate

66 - 7 m^{5} \times m \times 10 m \times 9

Solution

More Steps

Evaluate

7 m^{5} \times m \times 10 m \times 9

Multiply the terms

More Steps

Evaluate

7 \times 10 \times 9

Multiply the terms

70 \times 9

Multiply the numbers

630

630 m^{5} \times m \times m

Multiply the terms with the same base by adding their exponents

630 m^{5 + 1 + 1}

Add the numbers

630 m^{7}

66 - 630 m^{7}

Show Solution

Factor the expression

6 (11 - 105 m^{7})

Evaluate

66 - 7 m^{5} \times m \times 10 m \times 9

Multiply

More Steps

Evaluate

7 m^{5} \times m \times 10 m \times 9

Multiply the terms

More Steps

Evaluate

7 \times 10 \times 9

Multiply the terms

70 \times 9

Multiply the numbers

630

630 m^{5} \times m \times m

Multiply the terms with the same base by adding their exponents

630 m^{5 + 1 + 1}

Add the numbers

630 m^{7}

66 - 630 m^{7}

Solution

6 (11 - 105 m^{7})

Show Solution

Find the roots

m = \frac{7 11 \times 10 5 ^{6}}{105}

Alternative Form

m \approx 0.724484

Evaluate

66 - 7 m^{5} \times m \times 10 m \times 9

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

66 - 7 m^{5} \times m \times 10 m \times 9 = 0

Multiply

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Multiply the terms

7 m^{5} \times m \times 10 m \times 9

Multiply the terms

More Steps

Evaluate

7 \times 10 \times 9

Multiply the terms

70 \times 9

Multiply the numbers

630

630 m^{5} \times m \times m

Multiply the terms with the same base by adding their exponents

630 m^{5 + 1 + 1}

Add the numbers

630 m^{7}

66 - 630 m^{7} = 0

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

- 630 m^{7} = 0 - 66

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

- 630 m^{7} = - 66

Change the signs on both sides of the equation

630 m^{7} = 66

Divide both sides

\frac{630 m ^{7}}{630} = \frac{66}{630}

Divide the numbers

m^{7} = \frac{66}{630}

Cancel out the common factor 6

m^{7} = \frac{11}{105}

Take the 7 -th root on both sides of the equation

7 m^{7} = 7 \frac{11}{105}

Calculate

m = 7 \frac{11}{105}

Solution

More Steps

Evaluate

7 \frac{11}{105}

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

\frac{7 11}{7 105}

Multiply by the Conjugate

\frac{7 11 \times 7 10 5 ^{6}}{7 105 \times 7 10 5 ^{6}}

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

\frac{7 11 \times 10 5 ^{6}}{7 105 \times 7 10 5 ^{6}}

Multiply the numbers

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Evaluate

7105 \times 7 10 5^{6}

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

7 105 \times 10 5^{6}

Calculate the product

7 10 5^{7}

Reduce the index of the radical and exponent with 7

105

\frac{7 11 \times 10 5 ^{6}}{105}

m = \frac{7 11 \times 10 5 ^{6}}{105}

Alternative Form

m \approx 0.724484

Show Solution