Simplify the expression. 8 x ⋅ 8 x − 1 8 ^ { x } \cdot 8 ^ { x - 1 } 8 x ⋅ 8 x − 1 A) 8 2 x − 1 8 ^ { 2 x - 1 } 8 2 x − 1 B) 6 4 x 2 − x 64 ^ { x ^ { 2 } - x } 6 4 x 2 − x C) 1 8 \frac { 1 } { 8 } 8 1 D) 8 x 8 ^ { x } 8 x E) 8 x 2 − x 8 ^ { x ^ { 2 } - x } 8 x 2 − x

Question

Simplify the expression.   8 x ⋅ 8 x − 1 8 ^ { x } \cdot 8 ^ { x - 1 } 8 x ⋅ 8 x − 1 A)    8 2 x − 1 8 ^ { 2 x - 1 } 8 2 x − 1 B)    6 4 x 2 − x 64 ^ { x ^ { 2 } - x } 6 4 x 2 − x C)    1 8 \frac { 1 } { 8 } 8 1 ​ D)    8 x 8 ^ { x } 8 x E)    8 x 2 − x 8 ^ { x ^ { 2 } - x } 8 x 2 − x

Daniel Licari · Accepted Answer

Final Answer : A, Explanation :   When multiplying powers with the same base, you add the exponents. Thus,   8 x ⋅ 8 x − 1 = 8 x + ( x − 1 ) = 8 2 x − 1 8^x \cdot 8^{x-1} = 8^{x+(x-1)} = 8^{2x-1} 8 x ⋅ 8 x − 1 = 8 x + ( x − 1 ) = 8 2 x − 1  .

Simplify the expression. $8x \cdot 8 ^ { x - 1 }$

A) $8 ^ { 2 x - 1 }$
B) $64 ^ { x ^ { 2 } - x }$
C) $18\frac { 1 } { 8 }$
D) $8 ^ { x }$
E) $8 ^ { x ^ { 2 } - x }$

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Simplify the expression. 8x⋅8x−18 ^ { x } \cdot 8 ^ { x - 1 }8x⋅8x−1 A) 82x−18 ^ { 2 x - 1 }82x−1 B) 64x2−x64 ^ { x ^ { 2 } - x }64x2−x C) 18\frac { 1 } { 8 }81​ D) 8x8 ^ { x }8x E) 8x2−x8 ^ { x ^ { 2 } - x }8x2−x

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Learning Objectives

Learning Objectives

Related questions

Simplify the expression. $8x \cdot 8 ^ { x - 1 }$

A) $8 ^ { 2 x - 1 }$
B) $64 ^ { x ^ { 2 } - x }$
C) $18\frac { 1 } { 8 }$
D) $8 ^ { x }$
E) $8 ^ { x ^ { 2 } - x }$