Which expression would you multiply the exponents? A. 3^3 x 3^2 B. 3^3 + 3^2 C. (3^3)^2 D. 3^3/3^2

Answer 1

To determine which expression allows you to multiply the exponents, we need to look at each option based on the laws of exponents:

A. \(3^3 \times 3^2\)

• According to the property of exponents \(a^m \times a^n = a^{m+n}\), you would add the exponents, not multiply them.

B. \(3^3 + 3^2\)

• This is addition, so you do not multiply the exponents.

C. \((3^3)^2\)

• According to the property of exponents \((a^m)^n = a^{m \cdot n}\), you would multiply the exponents. (This is the correct answer.)

D. \(3^3 / 3^2\)

• According to the property of exponents \(a^m / a^n = a^{m-n}\), you would subtract the exponents, not multiply them.

So the correct answer is C. \((3^3)^2\).