Advanced Math practice question

Answer: A. x⁷

When powers of the same base are multiplied, the exponents are added: x³ · x⁴ = x³⁺⁴ = x⁷. (Think of it as three x's times four x's — seven x's in all.)

Why the other answers are wrong

B. x¹²

You multiplied the exponents, 3 × 4 = 12. Exponents are multiplied only when a power is raised to another power, as in (x³)⁴. Here two powers are multiplied, so the exponents add.

C. 2x⁷

The exponent is right, but there's no reason for a 2 in front. x · x is x², not 2x — multiplying doesn't count how many factors there are.

D. 2x¹²

Both errors at once: the exponents were multiplied instead of added, and a stray coefficient appeared.

More Advanced Math questions

• Easy–Medium
  If f(x) = 2x² − 3, what is f(4)?
• Easy–Medium
  Which expression is equivalent to (2x³)(3x⁴)?
• Easy–Medium
  What are the solutions to x² − 16 = 0?
• Easy–Medium
  Which expression is equivalent to (x + 5)²?
• Easy–Medium
  For x ≠ 0, which expression is equivalent to (x² + 3x) / x?
• Easy–Medium
  What are the solutions to the equation 2(x − 3)² − 32 = 0 ?