Solve 1s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^10 4p^6 5s^2 4

Evaluate

1 \times s^{2} \times 2 s^{2} \times 2 p^{6} \times 3 s^{2} \times 3 p^{6} \times 4 s^{2} \times 3 d \times 4 p^{6} \times 5 s^{2} \times 4 d \times 5 p^{6} \times 6 s^{2} \times 4 f \times 45 d \times 6 p

Rewrite the expression in exponential form

1 \times s^{2} \times 2 s^{2} \times 2 p^{6} \times 3^{3} s^{2} p^{6} \times 4^{4} s^{2} d^{3} p^{6} \times 5 s^{2} \times 5 p^{6} \times 6 s^{2} f \times 45 \times 6 p

Rewrite the expression

s^{2} \times 2 s^{2} \times 2 p^{6} \times 3^{3} s^{2} p^{6} \times 4^{4} s^{2} d^{3} p^{6} \times 5 s^{2} \times 5 p^{6} \times 6 s^{2} f \times 45 \times 6 p

Transform the expression

s^{2} \times 2 s^{2} \times 2 p^{6} \times 3^{3} s^{2} p^{6} \times 2^{8} s^{2} d^{3} p^{6} \times 5 s^{2} \times 5 p^{6} \times 6 s^{2} f \times 45 \times 6 p

Multiply the terms with the same base by adding their exponents

s^{2 + 2 + 2 + 2 + 2 + 2} \times 2 \times 2 p^{6} \times 3^{3} p^{6} \times 2^{8} d^{3} p^{6} \times 5 \times 5 p^{6} \times 6 f \times 45 \times 6 p

Add the numbers

s^{12} \times 2 \times 2 p^{6} \times 3^{3} p^{6} \times 2^{8} d^{3} p^{6} \times 5 \times 5 p^{6} \times 6 f \times 45 \times 6 p

Multiply the terms with the same base by adding their exponents

s^{12} \times 2^{1 + 8} \times 2 p^{6} \times 3^{3} p^{6} d^{3} p^{6} \times 5 \times 5 p^{6} \times 6 f \times 45 \times 6 p

Add the numbers

s^{12} \times 2^{9} \times 2 p^{6} \times 3^{3} p^{6} d^{3} p^{6} \times 5 \times 5 p^{6} \times 6 f \times 45 \times 6 p

Multiply the terms with the same base by adding their exponents

s^{12} \times 2^{1 + 9} p^{6} \times 3^{3} p^{6} d^{3} p^{6} \times 5 \times 5 p^{6} \times 6 f \times 45 \times 6 p

Add the numbers

s^{12} \times 2^{10} p^{6} \times 3^{3} p^{6} d^{3} p^{6} \times 5 \times 5 p^{6} \times 6 f \times 45 \times 6 p

Multiply the terms with the same base by adding their exponents

s^{12} \times 2^{10} p^{6 + 6 + 6 + 6 + 1} \times 3^{3} d^{3} \times 5 \times 5 \times 6 f \times 45 \times 6

Add the numbers

s^{12} \times 2^{10} p^{25} \times 3^{3} d^{3} \times 5 \times 5 \times 6 f \times 45 \times 6

Multiply the terms

More Steps

s^{12} \times 2^{10} p^{25} \times 3^{3} d^{3} \times 40500 f

Use the commutative property to reorder the terms

2^{10} s^{12} p^{25} \times 3^{3} d^{3} \times 40500 f

Evaluate the power

1024 s^{12} p^{25} \times 3^{3} d^{3} \times 40500 f

Multiply the numbers

More Steps

27648 s^{12} p^{25} d^{3} \times 40500 f

Solution

1119744000 s^{12} p^{25} d^{3} f

Simplify the expression