Simplify the expression. ( 4 e x ) 3 \left( 4 e ^ { x } \right) ^ { 3 } ( 4 e x ) 3 A) 64 e 3 x 64 e ^ { 3 x } 64 e 3 x B) 4 e 3 x 4 e ^ { 3 x } 4 e 3 x C) 4 e x 3 4 e ^ { x ^ { 3 } } 4 e x 3 D) 12 e 3 x 12 e ^ { 3 x } 12 e 3 x E) 64 e x 3 64 e ^ { x ^ { 3 } } 64 e x 3

Question

Simplify the expression.   ( 4 e x )  3 \left( 4 e ^ { x } \right)  ^ { 3 } ( 4 e x )  3 A)    64 e 3 x 64 e ^ { 3 x } 64 e 3 x B)    4 e 3 x 4 e ^ { 3 x } 4 e 3 x C)    4 e x 3 4 e ^ { x ^ { 3 } } 4 e x 3 D)    12 e 3 x 12 e ^ { 3 x } 12 e 3 x E)    64 e x 3 64 e ^ { x ^ { 3 } } 64 e x 3

Joseph Bianchi · Accepted Answer

Final Answer : A, Explanation :   When we raise a power to another power, we multiply the exponents. So in this case, we have   ( 4 e x ) 3 (4e^x)^3 ( 4 e x ) 3   which simplifies to   4 3 ( e x ) 3 = 64 e 3 x 4^3(e^x)^3 = 64e^{3x} 4 3 ( e x ) 3 = 64 e 3 x  . Therefore, the correct choice is A.

Simplify the expression. $3\left( 4 e ^ { x } \right) ^ { 3 }$

A) $64 e ^ { 3 x }$
B) $4 e ^ { 3 x }$
C) $4 e ^ { x ^ { 3 } }$
D) $12 e ^ { 3 x }$
E) $64 e ^ { x ^ { 3 } }$

Definitions

Learning Objectives

Learning Objectives

Related questions

Simplify the expression. (4ex) 3\left( 4 e ^ { x } \right) ^ { 3 }(4ex) 3 A) 64e3x64 e ^ { 3 x }64e3x B) 4e3x4 e ^ { 3 x }4e3x C) 4ex34 e ^ { x ^ { 3 } }4ex3 D) 12e3x12 e ^ { 3 x }12e3x E) 64ex364 e ^ { x ^ { 3 } }64ex3

Definitions

Learning Objectives

Learning Objectives

Related questions

Simplify the expression. $3\left( 4 e ^ { x } \right) ^ { 3 }$

A) $64 e ^ { 3 x }$
B) $4 e ^ { 3 x }$
C) $4 e ^ { x ^ { 3 } }$
D) $12 e ^ { 3 x }$
E) $64 e ^ { x ^ { 3 } }$