Simplify the expression ( − 9 x 8 ) x 4 \left( - 9 x ^ { 8 } \right) x ^ { 4 } ( − 9 x 8 ) x 4 .A) − 9 x 32 - 9 x ^ { 32 } − 9 x 32 B) − 9 x 16 - 9 x ^ { 16 } − 9 x 16 C) 9 x − 12 9 x ^ { - 12 } 9 x − 12 D) − 9 x 12 - 9 x ^ { 12 } − 9 x 12 E) 9 x − 32 9 x ^ { - 32 } 9 x − 32

Question

Simplify the expression   ( − 9 x 8 )  x 4 \left( - 9 x ^ { 8 } \right)  x ^ { 4 } ( − 9 x 8 )  x 4   .A)    − 9 x 32 - 9 x ^ { 32 } − 9 x 32 B)    − 9 x 16 - 9 x ^ { 16 } − 9 x 16 C)    9 x − 12 9 x ^ { - 12 } 9 x − 12 D)    − 9 x 12 - 9 x ^ { 12 } − 9 x 12 E)    9 x − 32 9 x ^ { - 32 } 9 x − 32

Aodhbha Donovan · Accepted Answer

Final Answer : D, Explanation :   When we multiply two expressions with the same base, we add their exponents. So,   ( − 9 x 8 ) x 4 = − 9 x 8 + 4 = − 9 x 12 \left( - 9 x ^ { 8 } \right) x ^ { 4 } = -9x^{8+4}=-9x^{12} ( − 9 x 8 ) x 4 = − 9 x 8 + 4 = − 9 x 12  . Therefore, the answer is choice D.

Simplify the expression $x4\left( - 9 x ^ { 8 } \right) x ^ { 4 }$ .

A) $9 x ^ { 32 }$
B) $9 x ^ { 16 }$
C) $9 x ^ { - 12 }$
D) $9 x ^ { 12 }$
E) $9 x ^ { - 32 }$

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Learning Objectives

Learning Objectives

Related questions

Simplify the expression (−9x8) x4\left( - 9 x ^ { 8 } \right) x ^ { 4 }(−9x8) x4 .A) −9x32- 9 x ^ { 32 }−9x32 B) −9x16- 9 x ^ { 16 }−9x16 C) 9x−129 x ^ { - 12 }9x−12 D) −9x12- 9 x ^ { 12 }−9x12 E) 9x−329 x ^ { - 32 }9x−32

Definitions

Learning Objectives

Learning Objectives

Related questions

Simplify the expression $x4\left( - 9 x ^ { 8 } \right) x ^ { 4 }$ .

A) $9 x ^ { 32 }$
B) $9 x ^ { 16 }$
C) $9 x ^ { - 12 }$
D) $9 x ^ { 12 }$
E) $9 x ^ { - 32 }$