Question

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

full credit! *
63 x 36
36 = 18
Your answer

Answer 1

Please check the explanation!

Explanation:

Given the expression what Lizzet said was correct

`6^3* \:\:3^6=18^8`

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

Let us solve the expression

`6^3* \:\:3^6`

`=\left(3* \:2\right)^3* \:3^6`

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

`=3^3* \:2^3* \:3^6` ∵
`\left(3* \:2\right)^3=3^3* \:2^3`

`\mathrm{Apply\:exponent\:rule}:\:\:a^b* \:\:a^c=a^(b+c)`

`=2^3* \:3^(3+6)` ∵
`3^3* \:3^6=\:3^(3+6)`

`=2^3* \:3^9`

Therefore, the correct expression will be:

`6^3* \:\:3^6=2^3* \:\:3^9`

which can be further simplified such as:

`6^3* \:\:3^6=2^3* \:\:3^9`

`=8* \:19683`

`=157464`