Which of the following correctly simplifies the expression 2 to the power of 2 multiplied by 6 to the power of 0 whole over 7, the whole cubed.? 2 to the power of 2 multiplied by 1 whole over 7, the whole cubed. = 2 to the power of 5 multiplied by 1 cubed over 7 cubed. = 32 over 343. 2 to the power of 2 multiplied by 0 whole over 7, the whole cubed. = 2 to the power of 6 multiplied by 0 over 7 cubed. = 0 2 to the power of 2 multiplied by 1 whole over 7, the whole cubed. = 2 to the power of 6 multiplied by 1 cubed over 7 cubed. = 64 over 343. 2 to the power of 2 multiplied by 0 whole over 7, the whole cubed. = 2 to the power of 5 multiplied by 0 over 7 cubed. = 0

Respuesta :

((2^2 * 6^0) / 7)^3 =
(2^6 * 1^3) / 7^3 =
(64 * 1) / 343 =
64/343

Answer:

[tex]\frac{64}{343}[/tex]

Step-by-step explanation:

[tex](\frac{2^2*6^0}{7} )^3[/tex]

To simplify this , we multiply the outer exponent 3 with inner exponents

[tex]\frac{2^{2*3}*6^{0*3}}{7^3}[/tex]

[tex]\frac{2^6*6^0}{7^3}[/tex]

The value of 6^0 =1

[tex]\frac{2^6*1}{7^3}[/tex]

The value of 2^6 = 2*2*2*2*2*2 = 64

7^ 3 = 7*7*7 = 343

[tex]\frac{64}{343}[/tex]