Question

4. Lizette said this is correct. Is she right? Explain your answer to this question for

Answer 1

Answer:

Please check the explanation!

Step-by-step explanation:

Given the expression what Lizzet said was correct

$6^3\times \:\:3^6=18^8$

No, she is not right. Let me solve the expression

Let us solve the expression

$6^3\times \:\:3^6$

$=\left(3\times \:2\right)^3\times \:3^6$

$\mathrm{Apply\:exponent\:rule}:\:\:\:\left(ab\right)^c=a^cb^c$

$=3^3\times \:2^3\times \:3^6$          ∵  $\left(3\times \:2\right)^3=3^3\times \:2^3$

$\mathrm{Apply\:exponent\:rule}:\:\:a^b\times \:\:a^c=a^{b+c}$

$=2^3\times \:3^{3+6}$                 ∵  $3^3\times \:3^6=\:3^{3+6}$

$=2^3\times \:3^9$

Therefore, the correct expression will be:

$6^3\times \:\:3^6=2^3\times \:\:3^9$

which can be further simplified such as:

$6^3\times \:\:3^6=2^3\times \:\:3^9$

             $=8\times \:19683$

             $=157464$