4b^5c^3d^3 / 2b^7cd^2
(divided by)
please show me step by step !
Thanks! ^__^
(4/2)(b^5/b^7)(c^3/c)(d^3/d^2)
when you divide exponents, you subtract the numerator exponent with the the denominator exponent. I've done b for you.
(2)(b^(5-7))(c^3/c)(d^3/d^2)
2(b^(-2))(c^3/c)(d^3/d^2)
whenever the exponent is negative, it goes in the denominator like demonstrated with b:
2(c^3/c)(d^3/d^2)/b^2
2d+8=24
To simplify the given expression:
4b^5c^3d^3 / 2b^7cd^2
Step 1: Divide the coefficients:
4 / 2 = 2
Step 2: Divide the variables with the same base, subtracting the exponents:
b^5 / b^7 = b^(5-7) = b^-2
c^3 / c = c^(3-1) = c^2
d^3 / d^2 = d^(3-2) = d^1 = d
Therefore, the simplified expression is:
2b^-2c^2d