contestada

Which of the following shows the correct steps to find the value of 16 to the power of 1 over 4?

16 to the power of 1 over 4 equals 2 to the power of 4 to the power of 1 over 4 equals 2 to the power of 4 multiplied by 1 over 4 equals 2
16 to the power of 1 over 4 equals 4 to the power of 4 to the power of 1 over 4 equals 4 to the power of 4 multiplied by 1 over 4 equals 4
16 to the power of 1 over 4 equals 2 to the power of 8 to the power of 1 over 4 equals 8 to the power of 8 multiplied by 1 over 4 equals 4
16 to the power of 1 over 4 equals 8 to the power of 2 to the power of 1 over 4 equals 2 to the power of 2 multiplied by 1 over 4 equals 8

Respuesta :

absor201

Answer:

The correct option is 16 to the power of 1 over 4 equals 2 to the power of 4 to the power of 1 over 4 equals 2 to the power of 4 multiplied by 1 over 4 equals 2

Step-by-step explanation:

Find the solution of 16 to the power of 1 over 4.

16^1/4

We can write 16 as

16 = 2*2*2*2

16 = 2^4

Now replace 16 by 2^4 in the expression

(2^4)^1/4

Both the powers of 4 will be cancelled out by each other.

2^1 = 2

Thus the correct option is 16 to the power of 1 over 4 equals to the power of 4 to the power of 1 over 4 equals 2 to the power of 4 multiplies by 1 over 4 equal 2....

Otras preguntas