What is the product of (5^-1)(5^-3) 1/625 1/25 25 125

Question

asked Jul 27, 2018 153k views

2 Answers

Milind Patel · Answer 1 · 2018-08-03T09:25:22+0000

Answer:

(1)/(625)

Explanation:

The given expression is
(5^(-1))(5^(-3))

Apply the product law of exponent:
$x^a\cdot x^b=x^(a+b)$

$(5^(-1))(5^(-3))\\\\=5^(-1+(-3))\\\\=5^(-4)$

Now, apply the exponent rule:
x^(-a)=(1)/(x^a)

$5^(-4)\\\\=(1)/(5^4)\\\\=(1)/(625)$

Therefore, the product of the given expression is
(1)/(625)