SOLUTION: The expression (4b^−3 c^3 )^−5 (3b^−4 a^−2 )^−2 equals n(a^r)(b^s)(c^t)
where n, the leading coefficient, is:
and r, the exponent of a, is:
Algebra.Com
Question 275112: The expression (4b^−3 c^3 )^−5 (3b^−4 a^−2 )^−2 equals n(a^r)(b^s)(c^t)
where n, the leading coefficient, is:
and r, the exponent of a, is:
and s, the exponent of b, is:
and finally t, the exponent of c, is:
[NOTE: Your answers cannot be algebraic expressions.]
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
We can start by using the property of exponents: to raise the two expressions in parentheses to the -5 and -2 powers respecitvely:
Using the property of exponents, , we get:
Rearranging the order and grouping of the factors, using the Commutative and Associative Properties of Multiplication, we get:
Using the property of exponents, on the "b" factors we get:
which simplifies to:
This makes
n = If this is an "algebaric expression", I'll leave it up to you to calculate .
r = 4
s = 23
t = -15
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