Which expression is equivalent to (m4 q4 z-1 )(mq5z3) ,where m, q, and z are positive?
Correct answer: B. m5q9z2
- A. m4 q20 z−3
- B. m5q9z2
- C. m6q8z-1
- D. m20q12z-2
Explanation
Choice B is correct. Applying the commutative property of multiplication, the expression (m4q4z-1) (mq5 z3) can be rewritten as (m4m)(q4 q5 )(z-1z3) . For positive values of x , (xa)(xb)= x a+b. Therefore, the expression (m4m)(q4 q5 )(z-1 z3 ) can be rewritten as (m4+1)(q 4+5)(z-1+3 ), or m5q9z2.
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