ahanifpk ahanifpk
  • 01-09-2020
  • Mathematics
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10. Use the properties of exponents to simplify the expression:

10 Use the properties of exponents to simplify the expression class=

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BrainlyWarrior
BrainlyWarrior BrainlyWarrior
  • 04-09-2020

Answer :

[tex]\bigstar\:\boxed{\bf{\purple{x^{\frac{m}{n}}}=\orange{(\sqrt[n]{x})^m}}}[/tex]

Let's solve !

[tex]:\implies\sf\:25^{\frac{3}{2}}[/tex]

[tex]:\implies\sf\:(\sqrt[2]{25})^3[/tex]

[tex]:\implies\sf\:5^3[/tex]

[tex]:\implies\boxed{\bf{\red{125}}}[/tex]

Hence, Oprion-D is correct !

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