What is (1.4x10^3)(2.5x10^{-2}) ?

The solution to (1.4x10^3)(2.5x10^{-2}) is 35x^2

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simplify (1.4x10^3)(2.5x10^{-2})

simplify

(1.4 x 1 0^{3}) (2.5 x 1 0^{- 2})

35 x^{2}

Solution steps

(1.4 x \cdot 1 0^{3}) (2.5 x \cdot 1 0^{- 2})

Simplify

1.4 x \cdot 1 0^{3} : 1400 x

= 1400 x \cdot 2.5 x \cdot 1 0^{- 2}

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

= 1400 x \cdot 2.5 x \frac{1}{100}

Multiply the numbers:

1400 \cdot 2.5 = 3500

= 3500 xx \frac{1}{100}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= 3500 x^{2} \frac{1}{100}

= \frac{1}{100} \cdot 3500 x^{2}

Apply the fraction rule:

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

= \frac{1 \cdot 3500 x ^{2}}{100}

Multiply the numbers:

1 \cdot 3500 = 3500

= \frac{3500 x ^{2}}{100}

Divide the numbers:

\frac{3500}{100} = 35

= 35 x^{2}

5 e^{- 9}

6.28 \cdot 8.92 \cdot 1 0^{- 13}

15 x

(e^{4 θ})

15.606 (1.05)^{- \frac{3}{4}}

What is (1.4x10^3)(2.5x10^{-2}) ?
The solution to (1.4x10^3)(2.5x10^{-2}) is 35x^2