monomial

Simplify the monomial in parentheses: 2^3x^2*3y^3 8x^6y^3 Now we update the multiplication: 6x^2y^3(8x^6y^3) 6*8 x^(2 + 6)y^(3 + 3) 48x^8y^6

3abc^4/12a^3(b^3c^2)^2 * 8ab^-4c/4a^2b Expand term 1: 3abc^4/12a^3(b^3c^2)^2 3abc^4/12a^3b^6c^4 Now simplify term 1: 3/12 = 1/4 c^4 terms cancel Subtract powers from variables since the denominator powers are higher: b^(6 - 1) = b^5 a^(3 - 1) = a^2 1/4a^2b^5 Now simplify term 2: 8ab^-4c/4a^2b...

What is the ratio 18b^2 to 45b written in simplest for Using our monomial calculator, we see that 18b^2/45b is 2b/5

a ^5 x a ^2 without exponents When we multiply the same variable or number, we add exponents, so we have: a^(5 + 2) a^7 To write a variable raised to an exponent without exponents, we break it up. The formula to do this is: a^n = a times itself n times a^7 = a * a * a * a * a * a * a

the cube of the product of 3 and x The product of 3 and x: 3x Cube this product means raise it to the power of 3: (3x)^3 = 27x^3

Yes. It's an algebraic expression consisting of one term. The constant is 6, and the variable is x.