What is (5.4x10^8)(7.3x10^6) ?

The solution to (5.4x10^8)(7.3x10^6) is 3.942E15x^2

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simplify (5.4x10^8)(7.3x10^6)

simplify

(5.4 x 1 0^{8}) (7.3 x 1 0^{6})

3.942 E 15 x^{2}

Solution steps

(5.4 x \cdot 1 0^{8}) (7.3 x \cdot 1 0^{6})

Apply exponent rule:

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

1 0^{8} \cdot 1 0^{6} = 1 0^{8 + 6}

= 5.4 x \cdot 7.3 x \cdot 1 0^{8 + 6}

Add the numbers:

8 + 6 = 14

= 5.4 x \cdot 7.3 x \cdot 1 0^{14}

Apply exponent rule:

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

xx = x^{1 + 1}

= 5.4 \cdot 7.3 x^{1 + 1} \cdot 1 0^{14}

Add the numbers:

1 + 1 = 2

= 5.4 \cdot 7.3 x^{2} \cdot 1 0^{14}

Multiply the numbers:

5.4 \cdot 7.3 = 39.42

= 1 0^{14} \cdot 39.42 x^{2}

Convert element to a decimal form

1 0^{14} = 1.0 E 14

= 1.0 E 14 \cdot 39.42 x^{2}

Multiply the numbers:

39.42 \cdot 1.0 E 14 = 3.942 E 15

= 3.942 E 15 x^{2}

4.2 x 1 0^{- 3}

g (f^{- 1}) (e)

2.49 \cdot 1 0^{- 3}

4.5 \cdot 1 0^{- 2} \cdot 76

4.5 \cdot 1 0^{- 2} \cdot 67

What is (5.4x10^8)(7.3x10^6) ?
The solution to (5.4x10^8)(7.3x10^6) is 3.942E15x^2