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The problem asks for the simplified form of the expression:

\[
4a^3b \times 5a^7b
\]

To simplify:

1. Multiply the constants: \( 4 \times 5 = 20 \).
2. Apply the rule of exponents for \( a^3 \times a^7 \). Since the bases are the same, add the exponents: \( a^{3+7} = a^{10} \).
3. Apply the same exponent rule for \( b \times b \). This is equivalent to \( b^1 \times b^1 = b^{1+1} = b^2 \).

Thus, the simplified form is:

\[
20a^{10}b^2
\]

Would you like any more details or explanations? Here are some related questions you might find interesting:

1. How do you simplify expressions with different variables?
2. What are the general rules for multiplying exponents?
3. How would you simplify expressions with division and exponents?
4. What if the powers of \( b \) were different? How would the simplification change?
5. How do you apply the distributive property in algebraic expressions?

**Tip:** When multiplying variables with the same base, always add their exponents to simplify the expression.

Bentuk sederhana dari 4a^3b x 5a^7b adalah ....

Learn how to simplify the algebraic expression 4a^3b x 5a^7b by using exponent rules and multiplication of constants. This problem is suitable for students in Grades 7-9 and covers key algebraic concepts such as product of powers and simplification.

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