What is the value of (4^2) * (4^3)?

What is the value of (4^2) * (4^3)?

Step 1: Identify the expression we need to solve: (4^2) * (4^3).
Step 2: Recall the rule of exponents that says when you multiply two numbers with the same base, you add their exponents.
Step 3: Apply the rule: Since both terms have the base 4, we add the exponents: 2 + 3.
Step 4: Calculate the sum of the exponents: 2 + 3 = 5.
Step 5: Rewrite the expression using the new exponent: (4^2) * (4^3) = 4^5.
Step 6: Now, calculate 4^5. This means 4 multiplied by itself 5 times: 4 * 4 * 4 * 4 * 4.
Step 7: Calculate step by step: 4 * 4 = 16, then 16 * 4 = 64, then 64 * 4 = 256, and finally 256 * 4 = 1024.
Step 8: Therefore, the value of (4^2) * (4^3) is 1024.

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