Simplify: (x²)(x³)

Simplify: (x²)(x³)

• A. A) x⁵
• B. B) x⁶
• C. C) x³
• D. D) x⁴

Answer: (A)

To simplify the expression (x²)(x³), you apply the property of exponents that states when multiplying two expressions with the same base, you add their exponents. In this case, both terms have the base 'x'. Start by identifying the exponents: the first term has an exponent of 2 and the second term has an exponent of 3. Therefore, you add these exponents together: 2 + 3 = 5. This results in a new exponent of 5 for the base x, leading to the simplified expression x⁵. Thus, the correct simplified form of (x²)(x³) is x⁵.

To simplify the expression (x²)(x³), you apply the property of exponents that states when multiplying two expressions with the same base, you add their exponents. In this case, both terms have the base 'x'.

Start by identifying the exponents: the first term has an exponent of 2 and the second term has an exponent of 3. Therefore, you add these exponents together:

2 + 3 = 5.

This results in a new exponent of 5 for the base x, leading to the simplified expression x⁵. Thus, the correct simplified form of (x²)(x³) is x⁵.