If a = 2 and b = 5, what is (ab)^2?

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Prepare for the 8th Grade FAST Mathematics Test with our Pre-Algebra quiz. Study with multiple choice questions, each with hints and explanations. Build your confidence and ensure you're ready to excel!

Multiple Choice

If a = 2 and b = 5, what is (ab)^2?

Explanation:
Squaring a product means you square each factor: (ab)^2 = a^2 b^2. With a = 2 and b = 5, you get a^2 = 4 and b^2 = 25, and multiplying them gives 4 × 25 = 100. Alternatively, ab = 2 × 5 = 10, and then 10^2 = 100. So the result is 100. The other numbers come from squaring only one factor or not squaring the product at all.

Squaring a product means you square each factor: (ab)^2 = a^2 b^2. With a = 2 and b = 5, you get a^2 = 4 and b^2 = 25, and multiplying them gives 4 × 25 = 100. Alternatively, ab = 2 × 5 = 10, and then 10^2 = 100. So the result is 100. The other numbers come from squaring only one factor or not squaring the product at all.

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