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26-06-2021
Mathematics

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Which is equivalent to (square root 10) ^3/4?

Which is equivalent to square root 10 34 class=

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jimrgrant1 jimrgrant1

26-06-2021

Answer:

2nd option

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex](\sqrt[n]{a}) ^{m}[/tex] , then

[tex]\sqrt{10} ^{\frac{3x}{4} }[/tex]

= [tex](\sqrt[4]{10}) ^{3x}[/tex]

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