Which factors of the base would help simplify the expression 16^1/4?(1 point)

Question

Responses

16=4⋅4
16 equals 4 times 4

16=2⋅2⋅2⋅2
16 equals 2 times 2 times 2 times 2

16=4⋅2⋅2
16 equals 4 times 2 times 2

16=8⋅8
16 equals 8 times 8

Answer 1

The correct answer is: 16=2⋅2⋅2⋅2, which means that the base 16 can be simplified as 2 raised to the power of 4.

Answer 2

Rewrite the expression as a product of identical factors to find the product for 100^3/2
. Submit your answer in simplified form.

Answer 3

To simplify the expression 100^3/2, we can rewrite it as a product of identical factors:

100^3/2 = (10^2)^3/2

Using the property of exponents, we can rewrite this as:

(10^(2/2))^3

Simplifying this further, we have:

(10^1)^3

And simplifying again, we get:

10^3

Therefore, 100^3/2 simplifies to 10^3.

Answer 4

Rewrite the expression as a product of identical factors to simplify 125^2/3
. Submit your answer in simplified form. (1 point)

Answer 5

To simplify the expression 125^2/3, we can rewrite it as a product of identical factors:

125^2/3 = (5^3)^2/3

Using the property of exponents, we can rewrite this as:

(5^(3/3))^2

Simplifying this further, we have:

(5^1)^2

And simplifying again, we get:

5^2

Therefore, 125^2/3 simplifies to 5^2 or 25.

Answer 6

What rational number could be used as an exponent to rewrite 23−−√4
?(1 point)

Answer 7

To rewrite 23−−√4, we need to find a rational number that can be used as an exponent to cancel out the square root. In this case, the square root would be √4, which equals 2.

So, the rational number that could be used as an exponent to rewrite 23−−√4 is 2.

Answer 8

How can you rewrite 9^1/3
using a root?(1 point)

Answer 9

To rewrite 9^1/3 using a root, we can express it as the cube root of 9.

So, 9^1/3 can be written as ∛9.

Answer 10

What is the simplified form of 27^1/3
?(1 point)

Answer 11

The simplified form of 27^1/3 is 3.