What is (2x10^7)(3.4x10^8) ?

The solution to (2x10^7)(3.4x10^8) is 6.8E15x^2

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simplify (2x10^7)(3.4x10^8)

simplify

(2 x 1 0^{7}) (3.4 x 1 0^{8})

6.8 E 15 x^{2}

Solution steps

(2 x \cdot 1 0^{7}) (3.4 x \cdot 1 0^{8})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

1 0^{7} \cdot 1 0^{8} = 1 0^{7 + 8}

= 2 x \cdot 3.4 x \cdot 1 0^{7 + 8}

Add the numbers:

7 + 8 = 15

= 2 x \cdot 3.4 x \cdot 1 0^{15}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

xx = x^{1 + 1}

= 2 \cdot 3.4 x^{1 + 1} \cdot 1 0^{15}

Add the numbers:

1 + 1 = 2

= 2 \cdot 3.4 x^{2} \cdot 1 0^{15}

Multiply the numbers:

2 \cdot 3.4 = 6.8

= 1 0^{15} \cdot 6.8 x^{2}

Convert element to a decimal form

1 0^{15} = 1.0 E 15

= 1.0 E 15 \cdot 6.8 x^{2}

Multiply the numbers:

6.8 \cdot 1.0 E 15 = 6.8 E 15

= 6.8 E 15 x^{2}

1.49 \cdot 1 0^{- 3}

999.9999800000000 \dots (9.9 \cdot 1 0^{- 3})

50 e^{- 4000 k}

4 (s \cdot t) (s^{2} + t^{2}) t

e^{3 x} e^{4 x}