select all the expressions that are equivalent to $10^8 \\cdot 10^8$.\n$\\frac{1}{10^{-8}}$\n$10^8$\n$10^{16}…
select all the expressions that are equivalent to $10^8 \\cdot 10^8$.\n$\\frac{1}{10^{-8}}$\n$10^8$\n$10^{16}$\n$\\frac{1}{10^8}$\nsubmit
Answer
Explanation:
Step1: Apply exponent product rule
When multiplying exponents with the same base, add the exponents: $10^a \cdot 10^b = 10^{a+b}$ $10^8 \cdot 10^8 = 10^{8+8} = 10^{16}$
Step2: Rewrite with negative exponent
A positive exponent can be rewritten as a reciprocal with negative exponent: $10^n = \frac{1}{10^{-n}}$ $10^{16} = \frac{1}{10^{-16}}$
Answer:
$\frac{1}{10^{-16}}$, $10^{16}$