Asked by kayla swank on Apr 29, 2024
Verified
Rewrite the expression 3w35z−3\frac { 3 w ^ { 3 } } { 5 z ^ { - 3 } }5z−33w3 using only positive exponents. Assume that z is not zero.
A) 27w3z35\frac { 27 w ^ { 3 } z ^ { 3 } } { 5 }527w3z3
B) 375w3z3375 w ^ { 3 } z ^ { 3 }375w3z3
C) 15w3z315 w ^ { 3 } z ^ { 3 }15w3z3
D) 3w9z95\frac { 3 w ^ { 9 } z ^ { 9 } } { 5 }53w9z9
E) 3w3z35\frac { 3 w ^ { 3 } z ^ { 3 } } { 5 }53w3z3
Positive Exponents
Indicate how many times a number, the base, is to be multiplied by itself.
Expression
A combination of symbols that represent values or operations in mathematics.
Z
Often represents a variable in mathematics or denotes the set of all integers in number theory.
- Accurately switch negative exponents in expressions to their positive counterparts.
Verified Answer
CD
Cindy DaisyMay 04, 2024
Final Answer :
E
Explanation :
We can rewrite the expression as 3w35⋅z3\frac{3w^3}{5}\cdot z^353w3⋅z3 . Since z is not zero, we can rewrite it as 3w3z35\frac{3w^3z^3}{5}53w3z3 . This matches with choice E.
Learning Objectives
- Accurately switch negative exponents in expressions to their positive counterparts.