Question

Which of the following correctly simplifies the expression 2 to the power of 3 multiplied by 3 to the power of 0 whole over 5, the whole squared.? (5 points)
2 to the power of 3 multiplied by 1 whole over 5, the whole squared. = 2 to the power of 6 multiplied by 1 squared over 5 squared. = 64 over 25.

2 to the power of 3 multiplied by 1 whole over 5, the whole squared. = 2 to the power of 5 multiplied by 1 squared over 5 cubed. = 32 over 125.

2 to the power of 3 multiplied by 0 whole over 5, the whole squared. = 2 to the power of 6 multiplied by 0 over 5 squared. = 0

2 to the power of 3 multiplied by 0 whole over 5, the whole squared. = 2 to the power of 5 multiplied by 0 over 5 cubed. = 0

Answer 1

9514 1404 393

Answer:

  (a)  64/25

Step-by-step explanation:

The relevant properties of exponents are ...

  a^0 = 1 . . . . a ≠ 0

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

__

Your expression simplifies to ...

  $\left(\dfrac{2^3\cdot3^0}{5}\right)^2=\dfrac{2^{3\cdot2}\cdot1^2}{5^2}=\dfrac{2^6}{5^2}=\boxed{\dfrac{64}{25}}$