Advanced MathEasyProduct rule for exponents
Advanced Math practice question
For x ≠ 0, the expression x⁵ · x³ is equivalent to xⁿ. What is the value of n?
Answer: 8
Multiplying powers of the same base adds the exponents: 5 + 3 = 8.
Common wrong answers
- If you answered 2
- 2 subtracts the exponents — that is the rule for division.
- If you answered 15
- 15 multiplies the exponents — that rule is for a power of a power, (x⁵)³.
- If you answered 53
- The exponents add arithmetically: 5 + 3 = 8.
More Advanced Math questions
- Easy
If f(x) = 3x − 7, what is the value of f(5)? - Easy
What are the solutions to x² − 9 = 0? - Easy
Which of the following expressions is equivalent to x² + 7x + 12 ? - Easy
The function g is defined by g(x) = x³ + 2x. What is the value of g(−2) ? - Easy
For x > 0, which of the following is equivalent to ∛(x⁵) ? - Easy
The function h is defined by h(x) = (x − 6)(x + 2). What is one value of x for which h(x) = 0 ?
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