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Which of the following are equivalent to (y + 3)4/9?9A. (Wy+3)B. V(y + 3)*4c. (Ny+3)D. (x+3)(y9

Which of the following are equivalent to (y + 3)4/9?9A. (Wy+3)B. V(y + 3)*4c. (Ny-example-1
User Umer Abbas
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1 Answer

4 votes

ANSWER

B and C

Step-by-step explanation

The given expression has a fractional exponent. In a fractional exponent, the numerator is what we usually write as a power and the denominator is what we write as a root,


a^(m/n)=\sqrt[n]{a^m}

In this case, option B shows this same form,


(y+3)^(4/9)=\sqrt[9]{(y+3)^4}

The power and the root are exchangeable because we can separate them as "power of a power" which is the product of the exponents - and the order of the factors does not matter.

Hence, option C is also equivalent,


(y+3)^(4/9)=\sqrt[9]{(y+3)^4}=(\sqrt[9]{(y+3)})^4

User Annelyn
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