The answer is true. If you're multiplying exponents with like bases, you add the exponents together.
Example: 7⁵· 7⁶ = 7¹¹
However, if you were to have a problem that has different bases, you'd multiply the base numbers first, then keep the exponent on your product. Example: 9⁴ · 3⁴ = 27⁴
After getting your product, you need to "simplify" your answer. 27⁴ = 531, 441