Answer :
Answer:
0.2y^7
Step-by-step explanation:
you start of with 0.008y^21 and you want to find the cube
0.2 is the cube of 0.008 now all that is left is to figure out y
since we know that when we exponent an exponent exp
(2^3)^6 = 2^18 how i know this is 6x3 = 18
so 21/3 = 7
answer is 0.2y^7
The expression [tex]0.008y^{21}[/tex] as a cube of a monomial is [tex]0.2y^7[/tex] and this can be determined by using the arithmetic operations.
Given :
Expression - [tex]0.008y^{21}[/tex]
The following steps can be used to determine the expression [tex]0.008y^{21}[/tex] as a cube of a monomial:
Step 1 - Write the given expression.
[tex]=0.008y^{21}[/tex]
Step 2 - Now take the cube root of the above expression.
[tex]=(0.008y^{21})^{\frac{1}{3}}[/tex]
Step 3 - Simplify the above expression.
[tex]=0.2y^7[/tex]
The expression [tex]0.008y^{21}[/tex] as a cube of a monomial is [tex]0.2y^7[/tex].
For more information, refer to the link given below:
https://brainly.com/question/13101306