Question

(6×10^2)^3×(13×10^-5)

Answer 1

               $\boxed {\; a^{k}\cdot a^{n}=a^{k+n\; }}$

$(6\cdot 10^2)^3\cdot (13\cdot 10^{-5})=6^3\cdot 13\cdot 10^5\cdot 10^{-5}=216\cdot 13\cdot 10^0=\\\\=216\cdot 13\cdot 1=2808$

Answer 2

We can simplify this expression using the laws of exponents.

First, let's simplify the expression inside the parentheses:

(6×10^2)^3 = 6^3 × (10^2)^3 = 216 × 10^6

Next, we can simplify the entire expression:

(6×10^2)^3 × (13×10^-5) = 216 × 10^6 × 13 × 10^-5

Now, we can simplify the multiplication by adding the exponents:

216 × 13 × 10^6 × 10^-5 = 2808

Therefore, (6×10^2)^3 × (13×10^-5) simplifies to 2808.