Which factors of the base would help simplify the expression 16^1/4?(1 point)
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
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.
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.
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.
Rewrite the expression as a product of identical factors to find the product for 100^3/2
. Submit your answer in simplified form.
Rewrite the expression as a product of identical factors to simplify 125^2/3
. Submit your answer in simplified form. (1 point)
What rational number could be used as an exponent to rewrite 23−−√4
?(1 point)
How can you rewrite 9^1/3
using a root?(1 point)
What is the simplified form of 27^1/3
?(1 point)
The simplified form of 27^1/3 is 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.