Question

Please select the best answer from the choices provided

Answer 1

27^2/3

=(3^3)^2/3

= 3^2

= 9

Answer

d. 9

Answer 2

Answer:

The correct answer option is d. 9.

Step-by-step explanation:

We are given an expression $27^{\frac{2}{3} }$ and we are supposed to simplify it.

We can also write $27^{\frac{2}{3} }$ as $(3^3)^{\frac{2}{3} }$.

We know the power rule $(a^m)^n=a^{mn}$ which means that to raise a power to a power you need to multiply the exponents.

So multiplying the exponents to get:

$(3^3)^{\frac{2}{3} }\\3^{3.\frac{2}{3}$

3 gets cancelled by 3 so we are left with:

$3^2$ $=9$

Therefore, the correct answer option is d. 9.