Answer:
We conclude that:
[tex]\left(4b\right)^3=64b^3[/tex]
Step-by-step explanation:
Given
Let the expression
[tex]\left(4b\right)^3[/tex]
To determine
Simplify the expression in only positive exponents
Simplifying the expression
Given the expression
[tex]\left(4b\right)^3[/tex]
Apply exponent rule: [tex]\left(a\cdot \:b\right)^n=a^nb^n[/tex]
[tex]\left(4b\right)^3=4^3b^3[/tex]
as 4³ = 64, so
[tex]=64b^3[/tex]
Therefore, we conclude that:
[tex]\left(4b\right)^3=64b^3[/tex]
