Simplify the following: ( x 5 ) ( x ) ( x − 3 ) x − 4 \frac{\left({x^{5}}\right) \left(x\right) \left(x^{-3}\right) }{x^{-4}} x − 4 ( x 5 ) ( x ) ( x − 3 ) A) x -1 B) x 6 C) x -2 D) x 7 E) x 2

Question

Simplify the following:   ( x 5 )  ( x )  ( x − 3 )  x − 4 \frac{\left({x^{5}}\right) \left(x\right) \left(x^{-3}\right) }{x^{-4}} x − 4 ( x 5 )  ( x )  ( x − 3 )  ​ A)  x -1 B)  x 6 C)  x -2 D)  x 7 E)  x 2

Jordan Campbell · Accepted Answer

Final Answer : D, Explanation :   To simplify the expression, we use the properties of exponents. The expression is   x 5 ⋅ x ⋅ x − 3 x − 4 \frac{x^5 \cdot x \cdot x^{-3}}{x^{-4}} x − 4 x 5 ⋅ x ⋅ x − 3 ​  . First, we add the exponents in the numerator:   5 + 1 − 3 = 3 5 + 1 - 3 = 3 5 + 1 − 3 = 3  . Then, we subtract the exponent in the denominator from the sum we just found:   3 − ( − 4 ) = 3 + 4 = 7 3 - (-4) = 3 + 4 = 7 3 − ( − 4 ) = 3 + 4 = 7  . Thus, the simplified expression is   x 7 x^7 x 7  , which corresponds to choice D.

Simplify the following: $x−4\frac{\left({x^{5}}\right) \left(x\right) \left(x^{-3}\right) }{x^{-4}}$

A) x^-1
B) x⁶
C) x^-2
D) x⁷
E) x²

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Learning Objectives

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Simplify the following: (x5) (x) (x−3) x−4\frac{\left({x^{5}}\right) \left(x\right) \left(x^{-3}\right) }{x^{-4}}x−4(x5) (x) (x−3) ​ A) x-1B) x6C) x-2D) x7E) x2

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Learning Objectives

Learning Objectives

Related questions

Simplify the following: $x−4\frac{\left({x^{5}}\right) \left(x\right) \left(x^{-3}\right) }{x^{-4}}$

A) x^-1
B) x⁶
C) x^-2
D) x⁷
E) x²