When an exponential expression is raised to another power, the result is the that the exponents are multiplied with each other. This is illustrated as: (am)n=a(m⋅n)Answer and Explanation: The given expression is: (x−1y9z)−5(x−3y10z)−4 Using ...
Simplify the following expression using only positive exponents: ((x^(2n-2))(y^(2n))/(x^(5n+1)(y^(-n)))^(1/3) Simplify the following expression so that all the exponents are positive: \frac{(p^{-\frac{3}{4q^{3})^{\frac{1}{3}{(p^{-2}q^{4})(p^...
Simplify the following expression so that all the exponents are positive: \frac{(p^{-\frac{3}{4q^{3})^{\frac{1}{3}{(p^{-2}q^{4})(p^{2}q^{4})^{\frac{1}{2} Simplify the expression. Write with positive exponents only. (xz^{3})^{-4} Simplify the expression and w...
Simplify the rational expression. 10/10a-10 Simplify the rational expression: (x^2 + x y - 2 y^2) / (x^2 + 3 x y + 2 y^2). Simplify the rational expression. {45 y - 9 x y} / {x^2 y - 25 y}. Simplify the rational expression: \frac{x+1}{1+x} ...
Example 1: constants outside of the brackets Expand and simplify: 2(x + 5) + 3(x − 2) Expand each bracket in the expression Multiply the first bracket: ✕ x + 5 2 2x + 10 Multiply the second bracket – remember we are multiplying both x and − 2 by + 3: ✕ x − ...
26. 64m - 9n =(8m-3n)(8m+3n) Determine whether the following trinomials is a perfect square. If it is, factor the trinomial 46. X + 10x + 25=(x+5)2 Factor the following trinomials 56. 9w - 30wv + 25v =(3w-5y)2 Factor the expression 62. 3a (2a+b) – 27ab (2a+b)=(...
Simplify with positive exponents: (7x^4y^5)(10x^3y^3)/(35xy^5)(2xy^8) Simplify. Use positive exponents only. (a^{3}b)^{3} (a^{4}b^{8}) Simplify using positive exponents only. \frac{1}{9x^{-2}y^{-1 Simplify the expressio...
Simplify the expression. (-8y^2)(3y-4)+6y^2-5y^3 Simplify the expression \frac{5x^2 3}{(x+4)(x+2)} \frac{4(x+2)(x+4)}{(x+4)(x+2)}. Simplify the expression (y^2 + 6y)/(y^2 - 36) and give your answer in the form (f(y))/(g(y)) ...
The exponent of a number called base tells us the number of times the base is used as a repeated factor. In the expression, 45, the exponent 5 means the base 4 has to be multiplied 5 times. Thus, 45=4⋅4⋅4⋅4⋅4.
Rational expression: The fraction term which contains the polynomial either in the numerator or the denominator of the fraction is called the rational expression. It can be simplified like the usual expression. Most probably, we can simplify this expression by using the factoring method....