35.0k views
3 votes
Simplify the following monomials. Your answer should contain positive exponents only.

16) 9a^2bc^4/15ab^3c^5
17) 9x^4y^3/3x^10y^7​

1 Answer

3 votes

16) 9a^2bc^4/15ab^3c^5

To simplify this expression, we can cancel out common factors between the numerator and denominator:

9a^2bc^4/15ab^3c^5 = (3^2 * a^2 * b * c^4) / (5 * a * b^3 * c^5)

= (3/5) * a^(2-1) * b^(1-3) * c^(4-5)

= (3/5) * a * b^(-2) * c^(-1)

= 3a / (5b^2c)

17)9x^4y^3/3x^10y^7

Similarly, we can cancel out common factors to simplify this expression:

9x^4y^3/3x^10y^7 = (3^1 * 3^2 * x^4 * y^3) / (3^1 * x^10 * y^7)

= 3^(2-1) * x^(4-10) * y^(3-7)

= 3 * x^(-6) * y^(-4)

= 3 / (x^6y^4)

User Chkdsk
by
7.5k points