Solve 横浜市港北区箕輪町 2 - 5 - 25

Question

Simplify the expression

2 e^{2} H n^{5} g^{4} B^{2} a^{2} S h GQ u^{2} J L T - 30

Evaluate

He n g B an g S hi G an g B e i Q u J i Lu n T in g \times 2 - 5 - 25

Rewrite the expression in exponential form

He n^{5} g^{4} B a S h i^{4} G a B e Q u J Lu T \times 2 - 5 - 25

Evaluate the power

More Steps

Evaluate

i^{4}

Calculate

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

Calculate

(- 1) (- 1)

Calculate

1

He n^{5} g^{4} B a S h \times 1 \times G a B e Q u J Lu T \times 2 - 5 - 25

Multiply the terms

More Steps

Multiply the terms

He n^{5} g^{4} B a S h \times 1 \times G a B e Q u J Lu T \times 2

Rewrite the expression

He n^{5} g^{4} B a S h G a B e Q u J Lu T \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}

H e^{2} n^{5} g^{4} B a S h G a BQ u J Lu T \times 2

Multiply the terms

H e^{2} n^{5} g^{4} B^{2} a S h G a Q u J Lu T \times 2

Multiply the terms

H e^{2} n^{5} g^{4} B^{2} a^{2} S h GQ u J Lu T \times 2

Multiply the terms

H e^{2} n^{5} g^{4} B^{2} a^{2} S h GQ u^{2} J L T \times 2

Use the commutative property to reorder the terms

e^{2} H n^{5} g^{4} B^{2} a^{2} S h GQ u^{2} J L T \times 2

Use the commutative property to reorder the terms

2 e^{2} H n^{5} g^{4} B^{2} a^{2} S h GQ u^{2} J L T

2 e^{2} H n^{5} g^{4} B^{2} a^{2} S h GQ u^{2} J L T - 5 - 25

Solution

2 e^{2} H n^{5} g^{4} B^{2} a^{2} S h GQ u^{2} J L T - 30

Show Solution

Factor the expression

2 (e^{2} H n^{5} g^{4} B^{2} a^{2} S h GQ u^{2} J L T - 15)

Evaluate

He n g B an g S hi G an g B e i Q u J i Lu n T in g \times 2 - 5 - 25

Multiply

More Steps

Multiply the terms

He n g B an g S hi G an g B e i Q u J i Lu n T in g \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}

H e^{2} n g B an g S hi G an g B i Q u J i Lu n T in g \times 2

Multiply the terms with the same base by adding their exponents

H e^{2} n^{1 + 1 + 1 + 1 + 1} g B a g S hi G a g B i Q u J i Lu T i g \times 2

Add the numbers

H e^{2} n^{5} g B a g S hi G a g B i Q u J i Lu T i g \times 2

Multiply the terms with the same base by adding their exponents

H e^{2} n^{5} g^{1 + 1 + 1 + 1} B a S hi G a B i Q u J i Lu T i \times 2

Add the numbers

H e^{2} n^{5} g^{4} B a S hi G a B i Q u J i Lu T i \times 2

Multiply the terms

H e^{2} n^{5} g^{4} B^{2} a S hi G ai Q u J i Lu T i \times 2

Multiply the terms

H e^{2} n^{5} g^{4} B^{2} a^{2} S hi G i Q u J i Lu T i \times 2

Multiply the terms with the same base by adding their exponents

H e^{2} n^{5} g^{4} B^{2} a^{2} S h i^{1 + 1 + 1 + 1} GQ u J Lu T \times 2

Add the numbers

H e^{2} n^{5} g^{4} B^{2} a^{2} S h i^{4} GQ u J Lu T \times 2

Evaluate the power

More Steps

Evaluate

i^{4}

Calculate

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

Calculate

(- 1) (- 1)

Calculate

1

H e^{2} n^{5} g^{4} B^{2} a^{2} S h GQ u J Lu T \times 2

Multiply the terms

H e^{2} n^{5} g^{4} B^{2} a^{2} S h GQ u^{2} J L T \times 2

Use the commutative property to reorder the terms

e^{2} H n^{5} g^{4} B^{2} a^{2} S h GQ u^{2} J L T \times 2

Use the commutative property to reorder the terms

2 e^{2} H n^{5} g^{4} B^{2} a^{2} S h GQ u^{2} J L T

2 e^{2} H n^{5} g^{4} B^{2} a^{2} S h GQ u^{2} J L T - 5 - 25

Subtract the numbers

2 e^{2} H n^{5} g^{4} B^{2} a^{2} S h GQ u^{2} J L T - 30

Solution

2 (e^{2} H n^{5} g^{4} B^{2} a^{2} S h GQ u^{2} J L T - 15)

Show Solution