What value of k makes the equation true? open paren 5 A squared b cubed close paren times open paren 6 A to the k th power b close paren is equal to 30 A to the 6th power b to the 4th power
Answer
A
2
B
4
C
3
D
8
Explanation
Multiply the coefficients and add exponents for matching bases: the left side becomes 30A^(2+k)b^4. To match 30A^6b^4, set 2 + k = 6, so k = 4. The correct choice is 4.
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