Solve 神奈川県海老名市大谷北 2-2-8

Question

Simplify the expression

- 2 e^{2} S^{2} h^{3} n^{4} N a^{6} C u^{2} X H L o M g D GB - 10

Evaluate

S h e n N ai C h u an X ian H ai L a o M in g S hi D a G u B e i \times 2 - 2 - 8

Rewrite the expression in exponential form

S h^{3} e n^{4} N a^{6} i^{6} C u X H L o M g S D G u B e \times 2 - 2 - 8

Evaluate the power

More Steps

Evaluate

i^{6}

Evaluate

i^{4 + 2}

Calculate

1^{1} \times i^{2}

Calculate

i^{2}

Evaluate the power

- 1

S h^{3} e n^{4} N a^{6} (- 1) C u X H L o M g S D G u B e \times 2 - 2 - 8

Multiply

More Steps

Multiply the terms

S h^{3} e n^{4} N a^{6} (- 1) C u X H L o M g S D G u B e \times 2

Any expression multiplied by 1 remains the same

- S h^{3} e n^{4} N a^{6} C u X H L o M g S D G u B e \times 2

Multiply the terms

- S^{2} h^{3} e n^{4} N a^{6} C u X H L o M g D G u B e \times 2

Multiply the terms

More Steps

Evaluate

e \times e

Multiply the terms with the same base by adding their exponents

e^{1 + 1}

Add the numbers

e^{2}

- S^{2} h^{3} e^{2} n^{4} N a^{6} C u X H L o M g D G u B \times 2

Multiply the terms

- S^{2} h^{3} e^{2} n^{4} N a^{6} C u^{2} X H L o M g D GB \times 2

Multiply the terms

More Steps

Evaluate

S^{2} h^{3} e^{2} n^{4} N a^{6} C u^{2} X H L o M g D GB \times 2

Use the commutative property to reorder the terms

e^{2} S^{2} h^{3} n^{4} N a^{6} C u^{2} X H L o M g D GB \times 2

Use the commutative property to reorder the terms

2 e^{2} S^{2} h^{3} n^{4} N a^{6} C u^{2} X H L o M g D GB

- 2 e^{2} S^{2} h^{3} n^{4} N a^{6} C u^{2} X H L o M g D GB

- 2 e^{2} S^{2} h^{3} n^{4} N a^{6} C u^{2} X H L o M g D GB - 2 - 8

Solution

- 2 e^{2} S^{2} h^{3} n^{4} N a^{6} C u^{2} X H L o M g D GB - 10

Show Solution

Factor the expression

- 2 (e^{2} S^{2} h^{3} n^{4} N a^{6} C u^{2} X H L o M g D GB + 5)

Evaluate

S h e n N ai C h u an X ian H ai L a o M in g S hi D a G u B e i \times 2 - 2 - 8

Multiply

More Steps

Multiply the terms

S h e n N ai C h u an X ian H ai L a o M in g S hi D a G u B e i \times 2

Multiply the terms

S^{2} h e n N ai C h u an X ian H ai L a o M in g hi D a G u B e i \times 2

Multiply the terms with the same base by adding their exponents

S^{2} h^{1 + 1 + 1} e n N ai C u an X ian H ai L a o M in g i D a G u B e i \times 2

Add the numbers

S^{2} h^{3} e n N ai C u an X ian H ai L a o M in g i D a G u B e i \times 2

Multiply the terms

More Steps

Evaluate

e \times e

Multiply the terms with the same base by adding their exponents

e^{1 + 1}

Add the numbers

e^{2}

S^{2} h^{3} e^{2} n N ai C u an X ian H ai L a o M in g i D a G u B i \times 2

Multiply the terms with the same base by adding their exponents

S^{2} h^{3} e^{2} n^{1 + 1 + 1 + 1} N ai C u a X ia H ai L a o M i g i D a G u B i \times 2

Add the numbers

S^{2} h^{3} e^{2} n^{4} N ai C u a X ia H ai L a o M i g i D a G u B i \times 2

Multiply the terms with the same base by adding their exponents

S^{2} h^{3} e^{2} n^{4} N a^{1 + 1 + 1 + 1 + 1 + 1} i C u X i H i L o M i g i D G u B i \times 2

Add the numbers

S^{2} h^{3} e^{2} n^{4} N a^{6} i C u X i H i L o M i g i D G u B i \times 2

Multiply the terms with the same base by adding their exponents

S^{2} h^{3} e^{2} n^{4} N a^{6} i^{1 + 1 + 1 + 1 + 1 + 1} C u X H L o M g D G u B \times 2

Add the numbers

S^{2} h^{3} e^{2} n^{4} N a^{6} i^{6} C u X H L o M g D G u B \times 2

Evaluate the power

More Steps

Evaluate

i^{6}

Evaluate

i^{4 + 2}

Calculate

1^{1} \times i^{2}

Calculate

i^{2}

Evaluate the power

- 1

S^{2} h^{3} e^{2} n^{4} N a^{6} (- 1) C u X H L o M g D G u B \times 2

Multiply the terms

S^{2} h^{3} e^{2} n^{4} N a^{6} (- 1) C u^{2} X H L o M g D GB \times 2

Multiply the terms

S^{2} h^{3} e^{2} n^{4} N a^{6} C u^{2} X H L o M g D GB (- 2)

Use the commutative property to reorder the terms

e^{2} S^{2} h^{3} n^{4} N a^{6} C u^{2} X H L o M g D GB (- 2)

Use the commutative property to reorder the terms

- 2 e^{2} S^{2} h^{3} n^{4} N a^{6} C u^{2} X H L o M g D GB

- 2 e^{2} S^{2} h^{3} n^{4} N a^{6} C u^{2} X H L o M g D GB - 2 - 8

Subtract the numbers

- 2 e^{2} S^{2} h^{3} n^{4} N a^{6} C u^{2} X H L o M g D GB - 10

Solution

- 2 (e^{2} S^{2} h^{3} n^{4} N a^{6} C u^{2} X H L o M g D GB + 5)

Show Solution