The value of K will be equal to 4 for an expression (5a²b³)(6a[tex].^k[/tex]b)=30a⁶b⁴.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
We have an expression given as:-
(5a²b³)(6a[tex].^k[/tex]b)=30a⁶b⁴.
The mathematical properties we knew
[tex]x^mx^n = x^{m+n}[/tex]
[tex]x^m[/tex]÷[tex]x^n=x^{m-n}[/tex]
So the expressions will be written as:-
(5. 6 . a². a[tex].^k[/tex] .b³ .b = 30a⁶b⁴.
30 ( [tex]a^{2+k}[/tex])([tex]b^{3+1}[/tex]) = 30a⁶b⁴.
Comparing the terms we will get:-
[tex]a^{2+k}[/tex] = a⁶
2 + k = 6
k = 6 - 4
k = 4
Therefore the value of K will be equal to 4 for an expression (5a²b³)(6a[tex].^k[/tex]b)=30a⁶b⁴.
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