Simplify each expression. See Example.
Concept CheckDecide whether each expression has been simplified correctly. If not, correct it. Assume all variables represent nonzero real numbers.
(a) (mn)2 = mn2
(b) y2 · y5 = y7
(c)
(d) 30y =0
(e) 45 · 42 = 167
(f) (a2)3 = a5
(g) cd0=1
(h) (2b)4 =8b4
EXAMPLE Using the product Rule
Find each product.
(a) y4 · y7
(b) (6z5)(9z3)(2z2)
SOLUTION
(a) y4 · y7 = y4+7 =y11 Product rule: Keep the base and add the exponents.
(b)
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