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Work out in a standard form.
A) 2.1x 10^-5 ÷7 x 10^-2​

User Vanmelle
by
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2 Answers

3 votes

Answer: 3*10⁻⁴.

Explanation:


\displaystyle\\2,1*10^(-5)/7*10^(-2)=\\(2,1*10^(-5))/(7*10^(-2))=\\ (2,1)/(7)*10^(-5-(-2))=\\ 0,3*10^(-5+2)=\\0,3*10^(-3)=\\3*10^(-4).

User Pavlos
by
7.5k points
7 votes


\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}

Given:


\longrightarrow \sf{\frac{2.1 * {10}^(5) }{7 * {10}^( - 2) } }

First, rewrite the numerator in such a way that the coefficient 2.1 becomes 21:


\small\longrightarrow \sf{\frac{21 * {10}^( - 6) }{7 * {10}^(2) } }

Divide the coefficient:


\small\longrightarrow \sf{21 / 7=3}

Divide the base by subtracting the exponents of the base 10.


\small\longrightarrow \sf{-6(-2) \Longrightarrow -6+2=-4}


\leadsto Hence, the quotient of the given expression has a coefficient of 3 and the exponent of the base 10 is -4.


\small\longrightarrow \sf{3 * 10^(-4)}


\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}


\large \bm{The \: \: quotient \: \: is \: \: 3 * {10}^( - 4) .}

User Mohamed Mellouki
by
7.9k points

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