[tex] \rm \color{wheat}10[/tex]
Step-by-step explanation:
[tex] \rm \color{chocolate} \sqrt[3]{0,001} \div ( \frac{1}{10} {)}^{2} [/tex]
- convert the decimal into a fraction
[tex]\rm \color{chocolate} \sqrt[3]{ \frac{1}{1000} } \div ( \frac{1}{10} {)}^{2} [/tex]
[tex]\rm \color{chocolate} \frac{1}{10} \div ( \frac{1}{10} {)}^{2} [/tex]
[tex]\rm \color{chocolate}( \frac{1}{10} {)}^{ - 1} [/tex]
- any expression raised to the power of -1 equals it's reciprocal
[tex]\rm \color{teal} = 10[/tex]
[tex] \rm \color{lime}by - denfor[/tex]
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