Which expression would you multiply the exponents?

A. 3^3/3^2
B. (3^3)^2
C. 3^3 + 3^2
D. 3^3 * 3^2

1 answer

You would multiply the exponents in the expression:

B. (3^3)^2

In this case, when raising a power to another power, you multiply the exponents:

\[ (3^3)^2 = 3^{3 \cdot 2} = 3^6 \]

The other options involve different operations:

  • A. 3^3/3^2 involves division, which results in subtracting the exponents.
  • C. 3^3 + 3^2 involves addition and does not involve exponents multiplying.
  • D. 3^3 * 3^2 involves multiplication, which results in adding the exponents.

So, the correct answer is B. (3^3)^2.