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Aleks04 [339]
3 years ago
11

Which expression is equivalent to (a^6 b^−3)^1/3?

Mathematics
1 answer:
ehidna [41]3 years ago
3 0

Answer:

\frac{a^{2} }{b}

Step-by-step explanation:

Given expression:

           ( a⁶ b⁻³)^{\frac{1}{3} }

Find an expression equivalent to this;

 To solve this problem, we have to expand the parentheses by using one of rule of exponents.

          (a x b)ⁿ   = aⁿ x bⁿ

 So;

      ( a⁶ b⁻³)^{\frac{1}{3} }  =  a⁶^{\frac{1}{3} } x b⁻³ ^{\frac{1}{3} }

                      = a² x b⁻¹

  Therefore ( a⁶ b⁻³)^{\frac{1}{3} }  = \frac{a^{2} }{b}

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