What is (2.2x10^3)(3.5x10^{-2}) ?

The solution to (2.2x10^3)(3.5x10^{-2}) is 77x^2

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simplify (2.2x10^3)(3.5x10^{-2})

simplify

(2.2 x 1 0^{3}) (3.5 x 1 0^{- 2})

77 x^{2}

Solution steps

(2.2 x \cdot 1 0^{3}) (3.5 x \cdot 1 0^{- 2})

Simplify

2.2 x \cdot 1 0^{3} : 2200 x

= 2200 x \cdot 3.5 x \cdot 1 0^{- 2}

1 0^{- 2} = \frac{1}{100}

= 2200 x \cdot 3.5 x \frac{1}{100}

Multiply the numbers:

2200 \cdot 3.5 = 7700

= 7700 xx \frac{1}{100}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= 7700 x^{2} \frac{1}{100}

= \frac{1}{100} \cdot 7700 x^{2}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 7700 x ^{2}}{100}

Multiply the numbers:

1 \cdot 7700 = 7700

= \frac{7700 x ^{2}}{100}

Divide the numbers:

\frac{7700}{100} = 77

= 77 x^{2}

25 e^{- 5 (1)}

1.6 \cdot 1 0^{- 19} x^{69.723}

e^{2 C}

What is (2.2x10^3)(3.5x10^{-2}) ?
The solution to (2.2x10^3)(3.5x10^{-2}) is 77x^2