Question

Diego was trying to write 2 to the 3rd power * 2 to the second power with a single exponent and wrote 2 to the third power * 2 to the second power equals 2 to the 3rd power times 2 equals to the 6 power explain to Diego what his mistake was and what the answer should be

Answer 1

When multiplying numbers with index powers like its stated in this question, its very important to know the rule that applies to indices. When two numbers with the different index powers are multiplied together, the indices are added up, and NOT multiplied like Diego did. Ideally he should have written it like this;

2³ x 2²

2³ + ²

2⁵

**A quick check:

2³ x 2²

(2 x 2 x 2) x (2 x 2)

8 x 4

32

Similarly

2⁵ = 32**