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

Step-by-step explanation:

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

You are watching: Which of the following shows the correct steps to find the value of 8 to the power of 1 over 3?

16^1/4

We deserve to compose 16 as

16 = 2*2*2*2

16 = 2^4

Now rearea 16 by 2^4 in the expression

(2^4)^1/4

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

2^1 = 2

Therefore the correct choice is 16 to the power of 1 over 4 equates to 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

balwinderdev

Step-by-step explanation:

naenae6775

Step-by-action explanation:

The answer is the first one.

simplifies down to

The power to power ascendancy is that you multiply the exponents together:

which is
which is 2

I"m assuming that you are also functioning via radicals (considering that radicals and exponents are inverses of each other). The means to write this is as a radical and also simplify it is:

16^1" />

To simplify, try to write the radicand also (the number under the square root) so it"s a number through a power that matches the index (the number in the "arm" of the radical authorize. Our index is a 4).

16 is the exact same as 2⁴:

2^4" />

The power on the 2 is a 4, which is the exact same as the index. When the power matches the index, you pull out the base as a solitary number:

2^4=2" />

Sevara100

Option A is correct.

Value of 16 to the power of 1 over 4 equates to to the power of 4 to the power of 1 over 4 equates to 2 to the power of 4 multiplies by 1 over 4 equal 2.

Step-by-step explanation:

To find the worth of: 16 to the power of 1 over 4.

we have the right to write 16 as:

<∴
>

⇒2

Hence, the worth of is, 2.

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Thus, the value of 16 to the power of 1 over 4 amounts to to the power of 4 to the power of 1 over 4 amounts to 2 to the power of 4 multiplies by 1 over 4 equal 2.

marlea

Ans. 16 to the power of 1 over 4 amounts to 4 to the power of 4 to the power of 1over 4 amounts to 4 to the power of 4 multiplied by 1 over 4 amounts to 4

matthewbranch7780

8 to the power of 1 over 3 equals 2 to the power of 3 whole to the power of 1 over 3 equates to 2 to the power of 3 multiplied by 1 over 3 equals 2

Step-by-step explanation:

Options are below

8 to the power of 1 over 3 equates to 4 to the power of 3 totality to the power of 1 over 3 amounts to 4 to the power of 3 multiplied by 1 over 3 amounts to 4

8 to the power of 1 over 3 amounts to 2 to the power of 3 totality to the power of 1 over 3 equates to 2 to the power of 3 multiplied by 1 over 3 equals 2

8 to the power of 1 over 3 equates to 2 to the power of 4 whole to the power of 1 over 3 equals 2 to the power of 4 multiplied by 1 over 3 equals 16

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

Given:

8^1/3

if a power is raised to a power, we simplify it by multiplying the exponents; this will certainly produce a whole number exponent