What is (2.5x10^{-7})(2.5x10^{16}) ?

The solution to (2.5x10^{-7})(2.5x10^{16}) is 10^9*6.25x^2

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simplify (2.5x10^{-7})(2.5x10^{16})

simplify

(2.5 x 1 0^{- 7}) (2.5 x 1 0^{16})

1 0^{9} \cdot 6.25 x^{2}

Solution steps

(2.5 x \cdot 1 0^{- 7}) (2.5 x \cdot 1 0^{16})

Simplify

2.5 x \cdot 1 0^{- 7} : \frac{2.5 x}{10000000}

= \frac{2.5 x}{10000000} \cdot 2.5 x \cdot 1 0^{16}

Apply the fraction rule:

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

= \frac{2.5 x \cdot 2.5 x \cdot 1 0 ^{16}}{10000000}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{2.5 x ^{2} \cdot 2.5 \cdot 1 0 ^{16}}{10000000}

Cancel

\frac{2.5 x ^{2} \cdot 2.5 \cdot 1 0 ^{16}}{10000000} : 2.5 x^{2} \cdot 2.5 \cdot 1 0^{9}

= 2.5 x^{2} \cdot 2.5 \cdot 1 0^{9}

Multiply the numbers:

2.5 \cdot 2.5 = 6.25

= 6.25 x^{2} \cdot 1 0^{9}

= 1 0^{9} \cdot 6.25 x^{2}

e^{(t - 5)} \cdot e^{- s t}

c^{2} (c + Δ x)^{2}

e^{- 2900}

3.271 \cdot 1 o^{- 2}

x^{m}

What is (2.5x10^{-7})(2.5x10^{16}) ?
The solution to (2.5x10^{-7})(2.5x10^{16}) is 10^9*6.25x^2