What is (3.2x10^9)x(2x10^7) ?

The solution to (3.2x10^9)x(2x10^7) is 6.4E16x^3

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simplify (3.2x10^9)x(2x10^7)

simplify

(3.2 x 1 0^{9}) x (2 x 1 0^{7})

6.4 E 16 x^{3}

Solution steps

(3.2 x \cdot 1 0^{9}) x (2 x \cdot 1 0^{7})

Apply exponent rule:

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

1 0^{9} \cdot 1 0^{7} = 1 0^{9 + 7}

= 3.2 xx \cdot 2 x \cdot 1 0^{9 + 7}

Add the numbers:

9 + 7 = 16

= 3.2 xx \cdot 2 x \cdot 1 0^{16}

Apply exponent rule:

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

xxx = x^{1 + 1 + 1}

= 3.2 \cdot 2 x^{1 + 1 + 1} \cdot 1 0^{16}

Add the numbers:

1 + 1 + 1 = 3

= 3.2 \cdot 2 x^{3} \cdot 1 0^{16}

Multiply the numbers:

3.2 \cdot 2 = 6.4

= 1 0^{16} \cdot 6.4 x^{3}

Convert element to a decimal form

1 0^{16} = 1.0 E 16

= 1.0 E 16 \cdot 6.4 x^{3}

Multiply the numbers:

6.4 \cdot 1.0 E 16 = 6.4 E 16

= 6.4 E 16 x^{3}

e^{- \frac{1}{3} l n (- 3 x + 1)}

n (e^{u - x})^{n}

e^{- \frac{1 x ^{2}}{2}}

(x + 1) e^{2 x} \cdot x e^{2 x}