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

Explanation:

The relevant properties of exponents are ...

a^0 = 1 . . . . a ≠ 0

(a^b)^c = a^(bc)

(ab)^c = (a^c)(b^c)

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Your expression simplifies to ...

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