Question

Which equations are correct? Select each correct answer.

A. 8x³⋅(3x²)=24x⁶
B. 4x³⋅(6x²)=24x⁶
C. 6b³⋅(−2b³)=−12b⁶
D. 3a³⋅(−3a⁴)=−9a⁷

Answer 1

The correct equations are A, C, and D. When multiplying two powers with the same base, you add the exponents. So 3 + 2 = 5, 3 + 3 = 6, and 3 + 4 = 7.

Step-by-step explanation:

The correct equations are A, C, and D. Let's go through each equation:

A. 8x³⋅(3x²)=24x⁶: This equation is correct because when you multiply the exponents of the same base, you add the exponents. So 3 + 2 = 5, and 8 multiplied by 3 is 24.

C. 6b³⋅(-2b³)=−12b⁶: This equation is also correct. When you multiply two powers with the same base, you add the exponents. So 3 + 3 = 6, and 6 multiplied by -2 is -12.

D. 3a³⋅(-3a⁴)=−9a⁷: This equation is correct as well. Again, when you multiply two powers with the same base, you add the exponents. So 3 + 4 = 7, and 3 multiplied by -3 is -9.