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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

Use a calculator to work out (5.36 × 10^-4)^3 + (3.13 × 10^-5) × (2.48 × 10^-6). Give your answer in standard form to 3 significant figures.

Learn how to calculate (5.36 × 10^-4)^3 + (3.13 × 10^-5) × (2.48 × 10^-6) using scientific notation and standard form, with the final answer rounded to 3 significant figures. This problem involves powers of 10 and multiplication, suitable for Grades 9-11 students.

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