The expression (15a0b2c34)(3a16b−29c0) can be simplified by using the properties of exponents.

First, remember that any number raised to the power of 0 is 1. So, a0 and c0 both equal 1.

Second, when you multiply terms with the same base, you add the exponents.

So, the expression simplifies as follows:

(15 * 1 * b^2 * c^34) * (3 * a^16 * b^-29 * 1)
= 45 * a^16 * b^(2-29) * c^34
= 45 * a^16 * b^-27 * c^34

So, the equivalent expression is 45a16c34b-27, which corresponds to option D.

Question

The expression (15a0b2c34)(3a16b−29c0) can be simplified by using the properties of exponents.

First, remember that any number raised to the power of 0 is 1. So, a0 and c0 both equal 1.

Second, when you multiply terms with the same base, you add the exponents.

So, the expression simplifies as follows:

(15 * 1 * b^2 * c^34) * (3 * a^16 * b^-29 * 1)
= 45 * a^16 * b^(2-29) * c^34
= 45 * a^16 * b^-27 * c^34

So, the equivalent expression is 45a16c34b-27, which corresponds to option D.

Knowee AI · Accepted Answer

The expression (15a0b2c34)(3a16b−29c0) can be simplified by using the properties of exponents.

First, remember that any number raised to the power of 0 is 1. So, a0 and c0 both equal 1.

Second, when you multiply terms with the same base, you add the exponents.

So, the expression simplifies as follows:

(15 * 1 * b^2 * c^34) * (3 * a^16 * b^-29 * 1)
= 45 * a^16 * b^(2-29) * c^34
= 45 * a^16 * b^-27 * c^34

So, the equivalent expression is 45a16c34b-27, which corresponds to option D.

Which expression is equivalent to (15a0b2c34)(3a16b−29c0)(15⁢𝑎0⁢𝑏2⁢𝑐34)⁢(3⁢𝑎16⁢𝑏-29⁢𝑐0) for all values of a, b, and c where the expression is defined? A. 18b5818𝑏58 B. 45b5845𝑏58 C. 18a16c34b2718⁢𝑎16⁢𝑐34𝑏27 D. 45a16c34b27