What is (6x10^{-6})(5.7x10^4) ?

The solution to (6x10^{-6})(5.7x10^4) is (171x^2)/(500)

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simplify (6x10^{-6})(5.7x10^4)

simplify

(6 x 1 0^{- 6}) (5.7 x 1 0^{4})

\frac{171 x ^{2}}{500}

Solution steps

(6 x \cdot 1 0^{- 6}) (5.7 x \cdot 1 0^{4})

Simplify

6 x \cdot 1 0^{- 6} : \frac{3 x}{500000}

= \frac{3 x}{500000} \cdot 5.7 x \cdot 1 0^{4}

1 0^{4} = 10000

= \frac{3 x}{500000} \cdot 5.7 x \cdot 10000

Multiply the numbers:

5.7 \cdot 10000 = 57000

= \frac{3 x}{500000} \cdot 57000 x

= 57000 x \frac{3 x}{500000}

Apply the fraction rule:

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

= \frac{57000 x \cdot 3 x}{500000}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{57000 x ^{2} \cdot 3}{500000}

Cancel

\frac{57000 x ^{2} \cdot 3}{500000} : \frac{57 x ^{2} \cdot 3}{500}

= \frac{57 x ^{2} \cdot 3}{500}

Multiply the numbers:

57 \cdot 3 = 171

= \frac{171 x ^{2}}{500}

5 (25)

(5 x^{8} y^{3}) (15 x^{6} y^{3})

(5 a^{2} b^{3}) (6 a^{2} b)

1.4 \cdot 1 0^{- 10}

What is (6x10^{-6})(5.7x10^4) ?
The solution to (6x10^{-6})(5.7x10^4) is (171x^2)/(500)