Question

question 1-1
which of the following is equivalent to (10^0)×(10^ - 4)?
10^4
10^0
10^ - 4
10^ - 1

Explanation:

Step1: Recall exponent - rule

When multiplying two numbers with the same base \(a^m\times a^n=a^{m + n}\), and any non - zero number to the power of 0 is 1 (\(a^0 = 1\), here \(a = 10\), so \(10^0=1\)).

Step2: Calculate the product

\((10^0)\times(10^{-4})\), since \(10^0 = 1\), then \(1\times10^{-4}=10^{-4}\). Also, using the rule \(a^m\times a^n=a^{m + n}\), where \(m = 0\) and \(n=-4\), we have \(10^{0+( - 4)}=10^{-4}\).

Answer:

C. \(10^{-4}\)