Let's break this problem into two parts and solve it step by step:

Expression:

$\left( 5.36 \times 10^{-4} \right)^3 + \left( 3.13 \times 10^{-5} \right) \times \left( 2.48 \times 10^{-6} \right)$

Step 1: Solve the first term $\left( 5.36 \times 10^{-4} \right)^3$

$(5.36 \times 10^{-4})^3 = 5.36^3 \times (10^{-4})^3$ Calculate: $5.36^3 = 153.634$ $(10^{-4})^3 = 10^{-12}$ Thus: $(5.36 \times 10^{-4})^3 = 153.634 \times 10^{-12}$ So, the first term is: $1.53634 \times 10^{-10}$

Step 2: Solve the second term $\left( 3.13 \times 10^{-5} \right) \times \left( 2.48 \times 10^{-6} \right)$

Multiply the coefficients: $3.13 \times 2.48 = 7.7624$ Multiply the powers of 10: $10^{-5} \times 10^{-6} = 10^{-11}$ Thus, the second term is: $7.7624 \times 10^{-11}$

Step 3: Add the two terms

$1.53634 \times 10^{-10} + 7.7624 \times 10^{-11}$ Factor out $10^{-11}$: $= (15.3634 + 7.7624) \times 10^{-11}$ $= 23.1258 \times 10^{-11}$ Convert to standard form: $2.31258 \times 10^{-10}$

Step 4: Round to 3 significant figures

$\boxed{2.31 \times 10^{-10}}$

Let me know if you'd like more details or have any questions!

Here are 5 related questions for practice:

1. What is $(4.22 \times 10^{-3})^2$ in standard form to 3 significant figures?
2. How do you multiply powers of 10 with different exponents?
3. What