Asked by Ambrianna Jones on May 26, 2024
Verified
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-1
B) x6
C) x-2
D) x7
E) x2
Simplify
To make something easier to understand or do by reducing its complexity.
- Make use of exponent properties for the simplification of power-contained expressions.
Verified Answer
JC
Jordan CampbellMay 31, 2024
Final Answer :
D
Explanation :
To simplify the expression, we use the properties of exponents. The expression is x5⋅x⋅x−3x−4\frac{x^5 \cdot x \cdot x^{-3}}{x^{-4}}x−4x5⋅x⋅x−3 . First, we add the exponents in the numerator: 5+1−3=35 + 1 - 3 = 35+1−3=3 . Then, we subtract the exponent in the denominator from the sum we just found: 3−(−4)=3+4=73 - (-4) = 3 + 4 = 73−(−4)=3+4=7 . Thus, the simplified expression is x7x^7x7 , which corresponds to choice D.
Learning Objectives
- Make use of exponent properties for the simplification of power-contained expressions.